样式: 排序: IF: - GO 导出 标记为已读
-
New Results on Equivalence of Multivariate Polynomial Matrices J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-03-14 Jiancheng Guan, Jinwang Liu, Licui Zheng, Tao Wu, Jie Liu
This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. The authors give a necessary and sufficient condition for this equivalence. And the authors present an algorithm to reduce a class of multivariate polynomial matrices to their Smith forms.
-
On the Probability of Generating a Primitive Matrix J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-02-07 Jingwei Chen, Yong Feng, Yang Liu, Wenyuan Wu
Given a k × n integer primitive matrix A (i.e., a matrix can be extended to an n × n unimodular matrix over the integers) with the maximal absolute value of entries ∥A∥ bounded by an integer λ from above, the authors study the probability that the m × n matrix extended from A by appending other m − k row vectors of dimension n with entries chosen randomly and independently from the uniform distribution
-
The Structure Entropy of Social Networks J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-02-07 Zhenpeng Li, Zhihua Yan, Jian Yang, Xijin Tang
Micro triadic structure is an important motif and serves the building block of complex networks. In this paper, the authors define structure entropy for a social network and explain this concept by using the coded triads proposed by Davis and Leinhardt in 1972. The proposed structure entropy serves as a new macro-evolution index to measure the network’s stability at a given timestamp. Empirical analysis
-
Maximum Full Likelihood Approach to Randomly Truncated Data J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-02-07 Manli Cheng, Yukun Liu, Huijuan Ma, Jing Qin
Truncated data are commonly observed in economics, epidemiology, and other fields. The analysis of truncated data is challenging because the observed data are usually a biased sample of the target population due to truncation. Existing methods of handling truncated data largely depend on conditional likelihood which is the joint distribution of the data given that they are observed, and may be unreliable
-
Physics-Informed Neural Networks with Two Weighted Loss Function Methods for Interactions of Two-Dimensional Oceanic Internal Solitary Waves J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-01-26 Junchao Sun, Yong Chen, Xiaoyan Tang
The multiple patterns of internal solitary wave interactions (ISWI) are a complex oceanic phenomenon. Satellite remote sensing techniques indirectly detect these ISWI, but do not provide information on their detailed structure and dynamics. Recently, the authors considered a three-layer fluid with shear flow and developed a (2+1) Kadomtsev-Petviashvili (KP) model that is capable of describing five
-
Pre-Training Physics-Informed Neural Network with Mixed Sampling and Its Application in High-Dimensional Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-01-26 Haiyi Liu, Yabin Zhang, Lei Wang
Recently, the physics-informed neural network shows remarkable ability in the context of solving the low-dimensional nonlinear partial differential equations. However, for some cases of high-dimensional systems, such technique may be time-consuming and inaccurate. In this paper, the authors put forward a pre-training physics-informed neural network with mixed sampling (pPINN) to address these issues
-
Number of Solitons Emerged in the Initial Profile of Shallow Water Using Convolutional Neural Networks J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-01-26 Zhen Wang, Shikun Cui
The soliton resolution conjecture proposes that the initial value problem can evolve into a dispersion part and a soliton part. However, the problem of determining the number of solitons that form in a given initial profile remains unsolved, except for a few specific cases. In this paper, the authors use the deep learning method to predict the number of solitons in a given initial value of the Korteweg-de
-
A New Method for Solving Nonlinear Partial Differential Equations Based on Liquid Time-Constant Networks J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-01-26 Jiuyun Sun, Huanhe Dong, Yong Fang
Abstract In this paper, physics-informed liquid networks (PILNs) are proposed based on liquid time-constant networks (LTC) for solving nonlinear partial differential equations (PDEs). In this approach, the network state is controlled via ordinary differential equations (ODEs). The significant advantage is that neurons controlled by ODEs are more expressive compared to simple activation functions. In
-
Parallel Physics-Informed Neural Networks Method with Regularization Strategies for the Forward-Inverse Problems of the Variable Coefficient Modified KdV Equation J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2024-01-26 Huijuan Zhou
Abstract This paper mainly introduces the parallel physics-informed neural networks (PPINNs) method with regularization strategies to solve the data-driven forward-inverse problems of the variable coefficient modified Korteweg-de Vries (VC-MKdV) equation. For the forward problem of the VC-MKdV equation, the authors use the traditional PINN method to obtain satisfactory data-driven soliton solutions
-
The Necessary and Sufficient Conditions of Exponential Stability for Heat and Wave Equations with Memory J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-29 Lingfei Li, Xiaoyi Zhang, Xiuxiang Zhou
This paper is addressed to a study of the stability of heat and wave equations with memory The necessary and sufficient conditions of the exponential stability are investigated by the theory of Laplace transform. The results show that the stability depends on the decay rate and the coefficient of the kernel functions of the memory. Besides, the feedback stabilization of the heat equation is obtained
-
How to Construct a Lower Risk FOF Based on Correlation Network? The Method of Principal Component Risk Parity Asset Allocation J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-29 Wei Bai, Junting Zhang, Haifei Liu, Kai Liu
In order to build a low-risk Fund of Funds (FOF), from the perspective of correlation, the principal component factor is used to improve the traditional risk parity model. Principal component analysis is used to decompose the underlying assets and generate unrelated principal component factors, and then the authors can construct a principal component risk parity portfolio. The proposed empirical results
-
Covariate-Assisted Matrix Completion with Multiple Structural Breaks J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-29 Jing Meng, Long Feng, Changliang Zou, Zhaojun Wang
Abstract In matrix completion, additional covariates often provide valuable information for completing the unobserved entries of a high-dimensional low-rank matrix A. In this paper, the authors consider the matrix recovery problem when there are multiple structural breaks in the coefficient matrix β under the column-space-decomposition model A = Xβ + B. A cumulative sum (CUSUM) statistic is constructed
-
Mean-Square Output Consensus of Heterogeneous Multi-Agent Systems with Multiplicative Noises in Dynamics and Measurements J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-12 Bo Lin, Shixian Luo, Yan Jiang
This paper studies the output consensus problem of heterogeneous linear stochastic multiagent systems with multiplicative noises in system parameters and measurements, where the system noise in each agent is allowed to be different. By employing stochastic output regulation theory and the stochastic Lyapunov function approach, a composite controller embedded with stochastic output regulator equations
-
Support Recovery of Gaussian Graphical Model with False Discovery Rate Control J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-12 Yuhao Zhang, Yanhong Liu, Zhaojun Wang
This paper focuses on the support recovery of the Gaussian graphical model (GGM) with false discovery rate (FDR) control. The graceful symmetrized data aggregation (SDA) technique which involves sample splitting, data screening and information pooling is exploited via a node-based way. A matrix of test statistics with symmetry property is constructed and a data-driven threshold is chosen to control
-
Cooperative Game Theory Based Coordinated Scheduling of Two-Machine Flow-Shop and Transportation J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-12-12 Wenjuan Sun, Hua Gong, Peng Liu
A cooperative game theoretical approach is taken to production and transportation coordinated scheduling problems of two-machine flow-shop (TFS-PTCS problems) with an interstage transporter. The authors assume that there is an initial scheduling order for processing jobs on the machines. The cooperative sequencing game models associated with TFS-PTCS problems are established with jobs as players and
-
A New Random Sampling Method and Its Application in Improving Progressive BKZ Algorithm J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-25 Minghao Sun, Shixiong Wang, Hao Chen, Longjiang Qu
Random sampling algorithm was proposed firstly by Schnorr in 2003 to find short lattice vectors, as an alternative to enumeration. The follow-up developments in random sampling were mainly proposed by Fukase and Kashiwabara in 2015 and Aono and Nguyen in 2017. Although they extended the sampling space compared to Schnorr’s work through the natural number representation, they did not show how to sample
-
A New Class of Strong Orthogonal Arrays of Strength Three J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-25 Chunyan Wang, Min-Qian Liu, Jinyu Yang
Strong orthogonal arrays (SOAs) were recently introduced and studied as a class of spacefilling designs for computer experiments. To surely realize better space-filling properties, SOAs of strength three or higher are desirable. In addition, orthogonality is also an important property for designs of computer experiments, because it guarantees that the estimates of the main effects are uncorrelated
-
The Impact of General Correlation Under Multi-Period Mean-Variance Asset-Liability Portfolio Management J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-21 Xianping Wu, Weiping Wu, Yu Lin
This paper studies the multi-period mean-variance (MV) asset-liability portfolio management problem (MVAL), in which the portfolio is constructed by risky assets and liability. It is worth mentioning that the impact of general correlation is considered, i.e., the random returns of risky assets and the liability are not only statistically correlated to each other but also correlated to themselves in
-
Fixed-Time Anti-Disturbance Average-Tracking for Multi-Agent Systems Without Velocity Measurements J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-21 Yuling Li, Chenglin Liu, Ya Zhang, Yangyang Chen
In this paper, the authors tackle a fixed-time average-tracking problem for multi-agent systems which do not require velocity measurements and are affected by external mismatched and matched disturbances. The objective requires the considered agents with second-order dynamics to follow the average value of several time-varying reference signals, each of which is acquired by only one agent. First of
-
Two-Stage Online Debiased Lasso Estimation and Inference for High-Dimensional Quantile Regression with Streaming Data J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-21 Yanjin Peng, Lei Wang
In this paper, the authors propose a two-stage online debiased lasso estimation and statistical inference method for high-dimensional quantile regression (QR) models in the presence of streaming data. In the first stage, the authors modify the QR score function based on kernel smoothing and obtain the online lasso smoothed QR estimator through iterative algorithms. The estimation process only involves
-
Observer-Based Intra-Cluster Lag Consensus of Multi-Agent Systems via Intermittent Adaptive Pinning Control J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Yunlong Zhang, Guoguang Wen, Ahmed Rahmani, Zhaoxia Peng, Shiping Wen
The intra-cluster lag consensus means that the agents in the same cluster can achieve lag consensus asymptotically while the agents in different clusters can achieve different consensus. In this paper, the authors investigate the observer-based intra-cluster lag consensus problems of multi-agent systems (MASs) with general linear dynamics and nonlinear dynamics via intermittent adaptive pinning control
-
Brockett’s Second Example: A FAS Approach Treatment J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Guang-Ren Duan
In this paper, several equivalent forms of the well-known Brockett’s second example system are firstly presented. The stabilization of the system is then treated in the fully actuated system approach. A simple continuous time-invariant sub-stabilizing controller is designed, and the corresponding region of attraction is characterized. As a result, all trajectories of the system starting from the characterized
-
Subgroup Analysis for Longitudinal Data via Semiparametric Additive Mixed Effects Model J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Xiaolin Bo, Weiping Zhang
This paper proposed a general framework based on semiparametric additive mixed effects model to identify subgroups on each covariate and estimate the corresponding regression functions simultaneously for longitudinal data, thus it could reveal which covariate contributes to the existence of subgroups among population. A backfitting combined with k-means algorithm was developed to detect subgroup structure
-
Fixed-Time Controller Design for a Quadrotor UAV with Asymmetric Output Error Constraints J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Fang Wang, Zhigang Ma, Chao Zhou, Zheng Zhang, Changchun Hua, Qun Zong
In this article, a fixed-time tracking control strategy is proposed for a quadrotor UAV (QUAV) with external disturbance and asymmetric output error constraints. Firstly, a dynamic model of the QUAV is transformed into a strict feedback system with external disturbance, and it is decoupled into attitude subsystem and position subsystem for simplifying controller design. Secondly, an asymmetric tangent
-
Study on the Problem of Multistage Vaccine Production and Allocation with Capacity Constraints J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Qianqian Han, Yuwei Zhang, Zhenping Li, Yong Fang
Vaccination is the best way to build an immune barrier to control a new infectious disease. Considering the limited production capacity at the initial stage of vaccine production, the problem of multistage vaccine production and allocation is studied under the policy of free treatment for infected patients by the government. Given the population and infection rates of different regions and the vaccine
-
Adaptive Regulation for Hammerstein and Wiener Systems with Event-Triggered Observations J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Xiaotao Ren, Wenxiao Zhao, Jinwu Gao
The paper considers the adaptive regulation for the Hammerstein and Wiener systems with event-triggered observations. The authors adopt a direct approach, i.e., without identifying the unknown parameters and functions within the systems, adaptive regulators are directly designed based on the event-triggered observations on the regulation errors. The adaptive regulators belong to the stochastic approximation
-
A New Risk Measure MMVaR: Properties and Empirical Research J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Keqi Tan, Yu Chen, Dan Chen
The paper presents the properties of an alternative method, which measures market risk over time-horizon exceeding one day: Mark to market value at risk (MMVaR). Relying on the minimal returns during the time interval, this method not only considers the non-normality of data and information about sample size, but also meets the requirement of increasing the minimal capital ratio in Basel III, basically
-
Stability Analysis and Group Consensus Tracking Predictive Control of Multi-Agent Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Yanjiang Li, Chong Tan, Jingxian Wu, Guo-Ping Liu, Yin Cui
The issue of stability and group consensus tracking is investigated for the discrete-time heterogeneous networked multi-agent systems with communication constraints (e.g., time delays and data loss) in this paper. Firstly, the couple-group consensus tracking control is analyzed theoretically, the communication constraints are compensated by the prediction method, and the factor of leaders is introduced
-
Fractional Order Iteration for Gradient Descent Method Based on Event-Triggered Mechanism J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Jiajie Lu, Yong Wang, Yuan Fan
In this work, a novel gradient descent method based on event-triggered strategy has been proposed, which involves integer and fractional order iteration. Firstly, the convergence of integer order iterative optimization method and the stability of its associated system with integrator dynamics are linked. Based on this result, a fractional order iteration approach has been developed by modelling the
-
Impacts of CME Changing Mechanism for Allowing Negative Oil Prices on Prices and Trading Activities in the Crude Oil Futures Market J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Fengbin Lu, Hui Bu
This study investigates and compares the effects of the Coronavirus disease 2019 (COVID-19) pandemic, the Chicago mercantile exchange (CME)’s negative price suggestion on prices and trading activities in the crude oil futures market to discuss the cause of negative crude oil futures prices. Through event studies, the empirical results show that the COVID–19 pandemic no longer impacts crude oil futures
-
Infinite- and K-Step Opacity Verification of Discrete-Event Systems Under Nondeterministic Observations J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Qian Chu, Jiahui Zhang, Xiaoguang Han, Zhiwu Li, Zengqiang Chen
In some practical applications modeled by discrete-event systems (DES), the observations of events may be no longer deterministic due to sensor faults/failures, packet loss, and/or measurement uncertainties. In this context, it is interesting to reconsider the infinite-step opacity (∞-SO) and K-step opacity (K-SO) of a DES under abnormal conditions as mentioned. In this paper, the authors extend the
-
Finite-Time Observability of Probabilistic Logical Control Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Rongpei Zhou, Yuqian Guo, Xinzhi Liu, Weihua Gui
This study investigates finite-time observability of probabilistic logical control systems (PLCSs) under three definitions (i.e., finite-time observability with probability one, finite-time single-input sequence observability with probability one, and finite-time arbitrary-input observability with probability one). The authors adopt a parallel extension technique to recast the finite-time observability
-
High-Dimensional Volatility Matrix Estimation with Cross-Sectional Dependent and Heavy-Tailed Microstructural Noise J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Wanwan Liang, Ben Wu, Xinyan Fan, Bingyi Jing, Bo Zhang
The estimates of the high-dimensional volatility matrix based on high-frequency data play a pivotal role in many financial applications. However, most existing studies have been built on the sub-Gaussian and cross-sectional independence assumptions of microstructure noise, which are typically violated in the financial markets. In this paper, the authors proposed a new robust volatility matrix estimator
-
Stochastic Stability of Discrete Time Positive Markov Jump Nonlinear Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-10-19 Ping Zhao, Yan Zhao, Xinmin Song, Ben Niu
This paper investigates the stochastic stability of discrete time positive Markov jump nonlinear systems (PMJNS). Some definitions on stochastic stability for discrete time PMJNS are introduced first. Then, using the multiply max-separable Lyapunov function method, some stochastic stability criterions of discrete time PMJNS are provided, and some corresponding criterions are also provided for discrete
-
On Hierarchical Compensation Based Active Disturbance Rejection Control for ACMM Problem of Spacecraft J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Ping Liu, Seng Chen, Wenchao Xue, Wenbo Li
The attitude control and momentum management (ACMM) problem is quite fundamental for many spacecrafts including space stations, sky laboratories and etc. Instead of single attitude control problem, ACMM problem has to take account of both disturbance rejection and energy optimization. This paper studies the ACMM problem for general spacecraft. A practical active disturbance rejection control architecture
-
Asynchronous Output Regulation Control for Continuous-Time Markovian Jump Systems with Colored-Noise J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Shitong Wang, Zheng-Guang Wu, Zhaojing Wu
The output regulation control problem for the Markovian jump systems with colored-noise is proposed in this paper. Since the modes mismatch problem often exists in the Markovian switching system, the authors design a modes asynchronous controller with an internal model form, which can not only deal with external disturbance, but also reduce the influence of stochastic noise on the system, such that
-
Robust Control for Interval Type-2 T-S Fuzzy Discrete Systems with Input Delays and Cyber Attacks J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Chuang Liu, Jinxia Wu, Weidong Yang
This paper focuses on the robust control issue for interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy discrete systems with input delays and cyber attacks. The lower and upper membership functions are first utilized to IT2 fuzzy discrete systems to capture parameter uncertainties. By considering the influences of input delays and stochastic cyber attacks, a newly fuzzy robust controller is established.
-
Distributed Resilient Fusion Filtering for Nonlinear Systems with Random Sensor Delays: Optimized Algorithm Design and Boundedness Analysis J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Jun Hu, Zhibin Hu, Hongli Dong, Hongjian Liu
This paper is concerned with the distributed resilient fusion filtering (DRFF) problem for a class of time-varying multi-sensor nonlinear stochastic systems (MNSSs) with random sensor delays (RSDs). The phenomenon of the RSDs is modeled by a set of random variables with certain statistical features. In addition, the nonlinear function is handled via Taylor expansion in order to deal with the nonlinear
-
Linear Quadratic Leader-Follower Stochastic Differential Games: Closed-Loop Solvability J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Zixuan Li, Jingtao Shi
In this paper, a leader-follower stochastic differential game is studied for a linear stochastic differential equation with quadratic cost functionals. The coefficients in the state equation and the weighting matrices in the cost functionals are all deterministic. Closed-loop strategies are introduced, which require to be independent of initial states; and such a nature makes it very useful and convenient
-
Robust Calibration of Computer Models Based on Huber Loss J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Yang Sun, Xiangzhong Fang
Recently, uncertainty quantification is getting more and more attention, especially for computer model calibration. However, most of the existing papers assume the errors follow a Gaussian or sub-Gaussian distribution, which would not be satisfied in practice. To overcome the limitation of the traditional calibration procedures, the authors develop a robust calibration procedure based on Huber loss
-
Feedback Stackelberg Solution for Mean-Field Type Stochastic Systems with Multiple Followers J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Yaning Lin, Weihai Zhang
This paper discusses feedback Stackelberg strategies for the continuous-time mean-field type stochastic systems with multiple followers in infinite horizon. First, optimal control problems of the followers are studied in the sense of Nash equilibrium. With the help of a set of generalized algebraic Riccati equations (GAREs), sufficient conditions for the solvability are put forward. Then, the leader
-
The Adjacency Codes of the First Yellow Graphs J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Minjia Shi, Shitao Li, Jon-Lark Kim, Patrick Solé
The authors study the binary codes spanned by the adjacency matrices of the strongly regular graphs (SRGs) on at most two hundred vertices whose existence is unknown. The authors show that in length less than one hundred they cannot be cyclic, except for the exceptions of the SRGs of parameters (85, 42, 20, 21) and (96, 60, 38, 36). In particular, the adjacency code of a (85,42, 20, 21) is the zero-sum
-
A Low-Complexity Key-Recovery Attack on 6-Round Midori64 J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Xiaofeng Xie, Tian Tian
In EUROCRYPT 2017, a new structure-difference property, say “a-multiple-of-8” was proposed on 5-round AES. Inspired by the idea, yoyo attacks and mixture differential attacks were proposed yielding new records on data and computational complexities for key-recovery attacks against 5-round AES. In this paper, the authors attempt to apply the idea of mixture differential cryptanalysis to Midori64. Midori
-
Optimal Poisson Subsampling for Softmax Regression J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Yaqiong Yao, Jiahui Zou, Haiying Wang
Softmax regression, which is also called multinomial logistic regression, is widely used in various fields for modeling the relationship between covariates and categorical responses with multiple levels. The increasing volumes of data bring new challenges for parameter estimation in softmax regression, and the optimal subsampling method is an effective way to solve them. However, optimal subsampling
-
Strong Structural Controllability Based on Leader-Follower Framework J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Wei Qi, Zhijian Ji, Yungang Liu, Chong Lin
In this paper, the strong structural controllability of the leader-follower framework is discussed. Firstly, the authors analyze different edge augmentation methods to preserve the strong structural controllability of the path-bud topology. The following four cases are considered: Adding edges from the path to the bud; adding edges from the bud to the path; adding the reverse or forward edges to the
-
Error Analysis of the Feedback Controls Arising in the Stochastic Linear Quadratic Control Problems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Yanqing Wang
In this work, the author proposes a discretization for stochastic linear quadratic control problems (SLQ problems) subject to stochastic differential equations. The author firstly makes temporal discretization and obtains SLQ problems governed by stochastic difference equations. Then the author derives the convergence rates for this discretization relying on stochastic differential/difference Riccati
-
Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations with Markovian Switching J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Ke Xiao, Shuyong Li
The aim of this paper is to the discussion of the exponential stability of a class of impulsive neutral stochastic functional differential equations with Markovian switching. Under the influence of impulsive disturbance, the solution for the system is discontinuous. By using the Razumikhin technique and stochastic analysis approaches, as well as combining the idea of mathematical induction and classification
-
General Solutions of First-Order Algebraic ODEs in Simple Constant Extensions J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Johann Josef Mitteramskogler, Franz Winkler
If a first-order algebraic ODE is defined over a certain differential field, then the most elementary solution class, in which one can hope to find a general solution, is given by the adjunction of a single arbitrary constant to this field. Solutions of this type give rise to a particular kind of generic point—a rational parametrization—of an algebraic curve which is associated in a natural way to
-
Association Testing for High-Dimensional Multiple Response Regression J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Jinjuan Wang, Zhenzhen Jiang, Hongzhi Liu, Zhen Meng
Multiple response regression model is commonly employed to investigate the relationship between multiple outcomes and a set of potential predictors, where single-response analysis and multivariate analysis of variance (MANOVA) are two frequently used methods for association analysis. However, both methods have their own limitations. The basis of the former method is independence of multiple responses
-
Structure Balance and Opinions Dynamic in Signed Social Network J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-08-23 Zhenpeng Li, Xijin Tang
In this paper, the authors consider both the nodes’ opinions dynamics and signed network edges’ evolution. Simulated Annealing Algorithm is applied for searching the minimal global energy function, and bounded confidence model is used for nodes’ opinions updating. The authors find that the local and global level of balance of signed network is consistent with collective opinions 2-polarization. This
-
Analyzing the Dissemination of News by Model Averaging and Subsampling J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-07-31 Jiahui Zou
The dissemination of news is a vital topic in management science, social science and data science. With the development of technology, the sample sizes and dimensions of digital news data increase remarkably. To alleviate the computational burden in big data, this paper proposes a method to deal with massive and moderate-dimensional data for linear regression models via combing model averaging and
-
Optimal Resource Allocation and Feasible Hexagonal Topology for Cyber-Physical Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-06-12 Yifa Liu, Long Cheng
Networked cyber-physical systems are facing serious security threats from malicious attacks. It is noted that the networked cyber-physical system should take defense measures into account at the beginning of its construction. From the conservative defensive perspective, this paper proposes a robust optimal defense resource allocation strategy to reduce the maximum possible losses of the networked cyber-physical
-
Square-Free Pure Triangular Decomposition of Zero-Dimensional Polynomial Systems J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-06-12 Haokun Li, Bican Xia, Tianqi Zhao
Triangular decomposition with different properties has been used for various types of problem solving. In this paper, the concepts of pure chains and square-free pure triangular decomposition (SFPTD) of zero-dimensional polynomial systems are defined. Because of its good properties, SFPTD may be a key way to many problems related to zero-dimensional polynomial systems. Inspired by the work of Wang
-
Fixed-Time Stabilization of High-Order Uncertain Nonlinear Systems: Output Feedback Control Design and Settling Time Analysis J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-24 Chaoqun Guo, Jiangping Hu
This paper is devoted to stabilizing the high-order uncertain nonlinear system in a fixed time by output feedback control. First, a novel settling time solution method is proposed by establishing an indirect double system and using the comparison principle. Then a fixed-time observer and a neural networked based adaptive law are constructed to estimate the state and the unknown disturbance for the
-
A Singular Linear Quadratic Time-Inconsistent Optimal Control Problem J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Bowen Ma
Yong J [Acta Math. Appl. Sin. Engl. Ser. 28 (2012), 1–30] [Math. Control Relat. Fields 1 (2011), 83–118] studied a standard linear quadratic time-inconsistent optimal control problem via a cooperative and non-cooperative approach, respectively. The authors extend his results to a singular case. To handle the singularity, the authors prove the solvability of a generalized Riccati equation, and introduce
-
Convergence Analysis of Splitting-Up Algorithm of the Zakai’s Equation with Correlated Noises J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Xue Luo, Ting Pan, Wenhui Dong
In the field of nonlinear filtering (NLF), it is well-known that the unnormalized conditional density of the states satisfies the Zakai’s equation. The splitting-up algorithm has been first studied in the independent noises case by Bensoussan, et al. (1990). In this paper, the authors extend this convergence analysis of the splitting-up algorithm to the correlated noises’ case. Given a time discretization
-
Practical Exponential Stability of Two Dimensional Nonlinear Switched Positive Systems in the Roesser Model J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Jie Zhang, Yuangong Sun
This paper deals with the practical exponential stability of two-dimensional (2-D) nonlinear switched positive systems with impulse, disturbance and all modes unstable. Under the mode-dependent interval dwell time switching, new criteria such that 2-D nonlinear switched positive systems achieve practical exponential stability are derived. Furthermore, the explicit upper bound and convergence rate of
-
Identification for the Low-Contrast Image Signal with Regularized Variational Term and Dynamical Saturating Nonlinearity J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Ning Zhang, Yumei Ma, Zhenkuan Pan, Baoxiang Huang, Dongcheng Wang
In recent years, image processing based on stochastic resonance (SR) has received more and more attention. In this paper, a new model combining dynamical saturating nonlinearity with regularized variational term for enhancement of low contrast image is proposed. The regularized variational term can be setting to total variation (TV), second order total generalized variation (TGV) and non-local means
-
Sensor Fault Diagnosis and Tolerant Control Based on Belief Rule Base for Complex System J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Zhichao Feng, Zhijie Zhou, Xiaojun Ban, Changhua Hu, Xiaobo Zhang
This paper develops a new fault diagnosis and tolerant control framework of sensor failure (SFDTC) for complex system such as rockets and missiles. The new framework aims to solve two problems: The lack of data and the multiple uncertainty of knowledge. In the SFDTC framework, two parts exist: The fault diagnosis model and the output reconstruction model. These two parts of the new framework are constructed
-
Cooperative Output Regulation of Heterogeneous Systems over Directed Graphs: A Dynamic Adaptive Event-Triggered Strategy J. Syst. Sci. Complex. (IF 2.1) Pub Date : 2023-05-20 Hang Su, Bin Cheng, Zhongkui Li
This paper investigates the cooperative output regulation problem of heterogeneous linear multi-agent systems over directed graphs with the constraint of communication bandwidth. Given that there exists an exosystem whose state information is not available to all agents, the authors develop distributed adaptive event-triggered observers for the followers based on relative information between neighboring