This paper will investigate the linear quadratic (LQ) control problem for a stochastic system with different intermittent observations. Different from traditional LQ control problems, two controllers with different information structures are considered to minimize a quadratic performance index. Specifically, the information sets available to two controllers are different and mutually exclusive (i.e

In industrial control systems, industrial infrastructure is often attacked by hackers. Due to the serious sample imbalance in industrial control data, the traditional machine learning method has poor performance in anomaly detection. In this paper, TrAdaboost algorithm is applied to industrial control anomaly detection. The samples that are easy to classify are taken as the source domain data, and

We put forward and analyze in details an iterative method to find the mixed solutions of a matrix equation with sub-matrix constraints. The convergence of the approximated solution sequence generated by the iterative method is investigated, showing that if the constrained matrix equation is consistent, the mixed solution group can be obtained after a finite number of iterations. Moreover, for a given

How biodiversity is maintained is one of the most important problems in biology. It, seemingly, challenges the Darwinian evolutionary theory which assumes that only the fittest species survive. Most previous researches try to solve the puzzle based on deterministic dynamics. However, it is not clear how demographic stochasity plays a role in biodiversity, even though randomness cannot be ignored in

This paper is concerned with the fixed-time synchronization of coupled memristive neural networks (MNNs). To reduce the frequency of controller update, an event-triggered control approach is introduced. For this synchronization problem, the main difficulty lies in how to launch the fixed-time analysis in the parameter unmatching conditions and with event-triggered schemes. For the case when each follower

In this paper, we propose and analyze a local projection stabilization virtual element method for steady scalar convection-diffusion-reaction problem in the convective-dominated regime. Stability and optimal convergence property in the convective-dominated regime are proven in a suitable norm. Numerical results show that the proposed method is stable at very large Reynolds number and is in good agreement

This investigation enlightens the hydrothermal features of chemically reactive nanofluidic transport over an inclined spinning disk. The revolving disk is considered to move freely with uniform angular velocity. The surface of the disk is permeable. The nanofluid flow is considered thermally radiative. Also, the presence of a heat source/sink is included to portray a more realistic outcome. How the

This article focuses on the robust exponential stabilization of positive uncertain switched neural networks subject to actuator saturation and sensor faults. Given the existence of interval uncertainty and the constraint concerning positivity of the original system, a new positive state-bounding observer is constructed to guarantee the coinstantaneous estimation of system state and sensor faults. To

The present paper is devoted to constructing L2 type difference analog of the Caputo fractional derivative. The fundamental features of this difference operator are studied and it is used to construct difference schemes generating approximations of the second and fourth order in space and the (3−α)th-order in time for the time fractional diffusion equation with variable coefficients. Difference schemes

In complex network research, the infectious disease model is often used to study transmission mechanisms and interference factors of information; consequently, they are essential for the prediction and control of information transmission. The conventional SIRS epidemic model has a wide range of applications and is theoretically mature. However, it does not stratify the nodes in a network, and fails

It is a well-known fact that there are chaotic behaviors of neurons in the brain. These chaotic behaviors may affect the membrane potential dynamics of neurons. In the current study, we present a new phenomenon, called as Chaos Delayed Decay (CDD), which emerges when the first spike latency of a periodically forced deterministic Hodgkin-Huxley neuron exhibits a prominent delay depending on the chaotic

This paper characterizes the robust second-moment stability of stochastic linear systems subject to varying delays. The delays assume a particular form suitable to represent packet loss in networked control systems, under the zero-order hold feedback. The proposed robust stability condition requires checking the spectral radius of an appropriate matrix that that depends on uncertain parameters belonging

Investigation of the asymptotic properties of solutions to systems of discrete equations is a topic of permanent interest. Numerous papers analyze the so-called prescribed behaviour of solutions giving sufficient conditions for the existence of at least one solution having a given asymptotic behaviour. To a smaller extent the problem is considered of determining the initial data generating such solutions

This paper deals with the problem of asynchronous H∞ observer-based control for continuous-time nonhomogeneous Markovian jump systems with generalized incomplete transition rates. Different from other existing papers, the effects of both nonhomogeneity and asynchronism on observer-based control design are discussed in detail to address more realistic phenomena. Furthermore, to decouple the Lyapunov

This paper addresses the H∞ proportional-integral-derivative control problem based on the outlier-resistant observer for discrete-time systems under the schedule of stochastic communication protocol (SCP). A novel observer with saturation constraint is structured in order to reduce the negative influence of abnormal measurement outputs, where the saturation limit is dynamically adjusted in the light

The present paper proposes the robust control for singular switched fractional order systems (FOS). The main objective of this paper is to design an observer to stabilize the closed-loop singular switched FOS with actuator saturation under the designed switching law. By using generalized singular value decomposition (SVD) and linear matrix inequalities (LMIs), the observer and controller gains are

This article is devoted to establish the distributions for Sombor indices in a general random chain, in which their explicit analytical expressions of the expected values and variances are obtained. As applications, these results for random hexagonal, random phenylene, random polyphenyl and random spiro chains are given. Finally, the distributions for the Sombor indices in these four random chains

This study aims at the controllability of multi-agent systems (MASs) with cooperation and competition in a matrix-weight-based signed network based on the leader-follower structure from an algebra-theoretic perspective, which is a generalization of a scalar-weighted signed network due to increasing the dimension of controllable matrix and controllable subspace for such MASs. Therefore, comparing with

This article is dedicated to designing distributed state estimators for time-varying delay systems. The filtering network communication topology is time-varying, and it is presumed that the switching mechanism follows a homogeneous Markov chain, with partially unknown information in the probability transition matrix. An adaptive event-triggered mechanism is embedded in the sensor network, which reduces

This paper presents an improved Bayesian collocation method (IBCM) for steady-state response analysis of structural dynamic systems with large interval uncertainties. The main task of interval analysis is to search the extrema of steady-state response within the parametric intervals, so that the response bounds can be obtained. However, interval analysis problems with large parametric uncertainties

Lung sounds convey valuable information relevant to human respiratory health. Therefore, it is important to classify lung sounds for early diagnoses of respiratory disorders. In recent years, computerized lung sound analysis with machine learning algorithms has attracted researchers, especially the state-of-the-art convolutional neural network (CNN). However, most of these algorithms require a large

A practical resource allocation strategy is the prerequisite for disease control during a pandemic affected by various external factors, such as the information about the epidemic state, the interregional population mobility, and the geographical factors. Understanding the influence of these factors on resource allocation and epidemic spreading is the premise for designing an optimal resource allocation

The spreading process of information on complex networks has been widely explored. In fact, different individuals in a network usually hold different standards for information adoption. Considering the heterogeneity of adoption thresholds, this study constructs a two-layer network model with limited contacts. The adoption threshold of a node is related to its degree and a parameter obeying truncated

We show the existence and nature of convergence to a limiting set of roots for polynomials in a three-term recurrence of the form pn+1(z)=Qk(z)pn(z)+γpn−1(z) as n → ∞, where the coefficient Qk(z) is a kth degree polynomial, and z,γ∈C. These results are then extended for approximating roots of such polynomials for any given n. Such relations for the evaluation are motivated by the large computational

The Hua-Radon and polarized Hua-Radon transform are two orthogonal projections defined on holomorphic functions in the Lie sphere. Both transformations can be written as integral transforms with respect to a suitable reproducing kernel. Integrating both kernels over a Stiefel manifold yields a linear combination of zonal spherical monogenics. Using an Almansi type decomposition of holomorphic functions

The aims of this paper are to establish theoretical analysis and numerical simulation for a nonlinear wave equation with mixed boundary conditions of Dirichlet and Acoustic type. The theoretical results are about: existence and uniqueness of global solutions, regularity and uniform stability of these global solutions and an exponential decay rate for energy. In the numerical context, simulations are

The containment problem of finite-field networks (FFNs) with fixed topology (FT-FFNs) and switching topology (ST-FFNs) is studied. Firstly, the concept of containment for FFNs is proposed. Secondly, by semi-tensor product (STP) of matrices, the logical updating rule of FFNs with multiple leaders can be equivalently converted into an algebraic form. Thirdly, the containment problem is converted into

The production transportation problem is a famous NP-hard problem which is a challenge to be solved. This study develops a deterministic annealing neural network method based on Lagrange-barrier functions and two neural network models to solve the problem of this kind. According to the problem’s formulation, the Lagrange function will be applied to deal with the linear equality constraints. At the

The intent of this work is to explore the generation mechanism of four mixed-mode vibration types triggered by the pitchfork bifurcation delay phenomenon in a driven van der Pol-Duffing oscillator. The four mixed-mode vibration types can be named “delayed sup-pitchfork/sup-Hopf” type for Homoclinic connection, symmetric “delayed sup-pitchfork/sup-Hopf” type, “point/point” type for delayed sup-pitchfork

Link prediction is a fundamental challenge in network science. Among various methods, similarity-based algorithms are popular for their simplicity, interpretability, high efficiency and good performance. In this paper, we show that the most elementary local similarity index Common Neighbor (CN) can be linearly decomposed by eigenvectors of the adjacency matrix of the target network, with each eigenvector’s

Ecological communities may present complex interactions, such that the standard Lotka-Volterra mathematical model may not describe the system adequately. Here, we address the question of how to detect automatically the presence of a particular set of ecological nonlinear interactions known as higher-order interactions (HOI). Our proposal is based on estimating standard Lotka-Volterra model parameters

The combination of fluids and tensors has been explored in recent works to constrain the fluid flow along specific directions for simulation applications. Such an approach points towards the necessity to model flows using anisotropic fluid dynamics. The formalism behind anisotropic Helmholtz decomposition plays a central role given the foundations to model directional constraints. In this paper, we

The lattice-Boltzmann method, in its classical form, is a hyperbolic-leaning equation system which requires long term time-marching solutions to attain quasi-steady state, and much research has been done to improve the convergence performance of the algorithm. Nevertheless, previous approaches have seen limited use in the literature, either due to high complexity, a lack of integrability, and/or instability

The gravitational liquid-liquid two-phase flow was numerically investigated by using lattice Boltzmann method (LBM). The method was implemented for analyzing a model of Rayleigh-Taylor Instability (RTI). The feasibility of this present numerical approach was investigated by performing convergence test, and validating the obtained results with those obtained from experiments as well as other preceding

This paper mainly concentrates on the issue of finite-time output tracking of probabilistic Boolean control networks (PBCNs). Two kinds of problems are considered: (1) the system tracks a fixed reference output signal (ROS); (2) the system tracks a time variant reference output trajectory (TVROT). For the first problem, we design an effective event-triggered controller to realize output tracking in

In this paper, the non-fragile dissipative state estimation is addressed for semi-Markov jump inertial neural networks with reaction-diffusion. A semi-Markov jump model is used to describe the stochastic jump parameters in networks. Different from the invariable transition probabilities in the traditional Markov jump systems, the transition probabilities of the semi-Markov jump systems rely on the

We study the computation of the Tutte polynomials of fan-like graphs and obtain expressions of their Tutte polynomials via generating functions. As applications, Tutte polynomials, in particular, the number of spanning trees, of two kinds of benzenoid systems, i.e. pyrene chains and triphenylene chains, are obtained.

Let D be a digraph. A closed anti-directed Euler trail of D is a closed trail in which consecutive arcs have opposite directions and each arc of D occurs exactly once. A digraph is anti-Eulerian if it contains a closed anti-directed Euler trail. A tournament T is anti-Eulerian if and only if both d+(v) and d−(v) are even for any v∈V(T). The Cartesian product of two directed cycles Cn1→□Cn2→ is anti-Eulerian

Graph burning is a deterministic discrete time graph process that can be interpreted as a model for the spread of influence in social networks. The burning number b(G) of a graph G is the minimum number of steps in a graph burning process for that graph. In this paper, we introduced a new graph parameter, the generalized burning number of a graph br(G), which is generalization of b(G) with b1(G)=b(G)

A theoretical analysis of quasi-one-dimensional, steady, inviscid, compressible channel flow at a low magnetic Reynolds number with variable cross-section is performed in this paper. A second-order nonlinear dynamical system describing the variation of physical parameters is investigated in the phase plane. The characteristics of all possible channel flow with a constant electromagnetic field are obtained

In order to extend and unify the definitions of W-weighted DMP, W-weighted MPD, W-weighted CMP and composite outer inverses, we present the weighted composite outer inverses. Precisely, the notions of MNOMP, MPMNO and MPMNOMP inverses are introduced as appropriate expressions involving the (M,N)-weighted (B,C)-inverse and Moore–Penrose inverse. Basic properties and a number of characterizations for

The fields of material manufacture, graphic designing, information science, aerodynamics, plastic industry and biotechnology have been found to have a greater reliance on the phenomenon of fluid flow over three-dimensional realms. Consequently, this article has been focused to the study of Williamson nanofluid containing microorganisms over three-dimensional surface under the influence of magnetic

In this paper, the problem of stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings. By using the mode-dependent time interval segmentation technique

Recent technological advances have made possible the obtention of vast amounts of market data and strong computing power for advanced models which would not have been practicable for use in real market settings before. In this manuscript we devise a model-free empirical risk-neutral distribution based on Polynomial Chaos Expansions coupled with stochastic bridge interpolators that includes information

In this work, we present an iterative algorithm to solve a class of generalized coupled Sylvester-conjugate matrix equations over the generalized Hamiltonian matrices. We show that if the equations are consistent, a generalized Hamiltonian solution can be obtained within finite iteration steps in the absence of round-off errors for any initial generalized Hamiltonian matrix by the proposed iterative

Recently, there appeared a considerable interest in inverse Sturm–Liouville-type problems with constant delay. However, necessary and sufficient conditions for solvability of such problems were obtained only in one very particular situation. Here we address this gap by obtaining necessary and sufficient conditions in the case of functional-differential pencils possessing a more general form along with

The structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2 was studied. We assumed that the viscous fluid was governed by the Boussinesq equations in Ω1, while in Ω2, we supposed that the flow satisfies the Darcy equations. Some interfacing boundary conditions are imposed. The traditional Poincare´ inequalities can’t be used. With the aid of some useful

In this paper the analysis of an asymptotic preserving (AP) IMEX-RK finite volume scheme for the wave equation system in the zero Mach number limit is presented. An IMEX-RK methodology is employed to obtain a time semi-discrete scheme, and a space-time fully-discrete scheme is derived by using standard finite volume techniques. The existence of a unique numerical solution, its uniform stability with

Emotion emerges along with individuals’ interactions, and numerous experimental studies have shown that emotion plays an important role in individual decision making. However, how emotion affects the evolution of cooperation in structured population is largely unknown. Here we introduce emotion into network reciprocity, where emotion is considered quantifiable and cumulative, and then divide individuals

Under investigation in this paper are the coupled Hirota (CH) equations, which describe the collision of two waves in the deep ocean and the propagation of the ultrashort optical pulses in a birefringent fiber. Based on the bilinear method, multi-soliton solutions for the CH equations are given. From the perspective of analysis, the interaction dynamics of solitons are obtained. The head-on and overtaking

In this article, a control-interval-dependent Lyapunov functional is introduced to address the stabilization problem of neural networks under intermittent sampled-data control. By virtue of this Lyapunov functional, the ‘jump’ phenomena of the adjacent Lyapunov functionals at the switching instants can be eliminated without imposing any additional restrictions on the Lyapunov matrices. Combining with

This paper studies the dissipative filtering of singular Markovian jump systems (SMJSs) with generally hybrid transition rates (GHTRs). The transition rates of the mode jumps are considered to be generally hybrid, which relax the traditional assumption in Markov jump systems that estimate errors must be completely symmetric. The introduced generally hybrid transition rates (GHTRs) make these systems

Let G=(V(G),E(G)) be a graph with V(G)={v1,v2,⋯,vn}. The Randić matrix of G is an n×n matrix R(G)=(rij) with rij=1dG(vi)dG(vj) if vivj∈E(G), and rij=0 if vivj∉E(G), where dG(vi) is the degree of vi in G for i=1,2,⋯,n. The Randić energy of G is the sum of the absolute values of the eigenvalues of R(G). Let Tn,d be the set of trees of order n with diameter 3≤d≤n−2, and T(n,d;n1,n2,⋯, nd−1)∈Tn,d be a

Given a convex n-gon, we can draw n disks (called side disks) where each disk has a different side of the polygon as diameter and the midpoint of the side as its center. The intersection graph of such disks is the undirected graph with vertices the n disks and two disks are adjacent if and only if they have a point in common. Such a graph was introduced by Huemer and Pérez-Lantero (Discrete Mathematics

Reaction rate is a particularly important research object in chemical kinetics, and it is a measure of how fast a chemical reaction goes. In order to illustrate and clarify the evolution of concentration of a substance involved in the reaction, this paper derives an uncertain chemical reaction equation based on the theory of uncertain differential equation. By using the actual observations, one can

The paper is concerned with the finite-time control of linear parameter-varying systems by means of the interval observer method. An unknown input observer framework is utilized to construct the interval observer to avoid the cooperativity constraint in estimation error dynamics. The corresponding control scheme composed of upper-lower bounds of the controller is established to treat the time-varying

This paper proposes a polynomially sampled parameter dependent controller design for sampled-data linear parameter varying (LPV) systems. The goal of this study is to design a controller which exponentially stabilizes the system with a larger maximum sampling interval. To achieve this, we utilize the information of the parameters in the controller part. The proposed controller is dependent on the polynomials

Synchronization among a set of networked nodes has attracted much attention in different fields. This paper thoroughly investigates linear formulation of the Kuramoto model, with and without frustration, for an arbitrarily weighted undirected network where all nodes may have different intrinsic frequencies. We develop a mathematical framework to estimate errors of the linear approximation for globally

This paper focuses on the convergence analysis of first-order discrete multi-agent systems (MASs) with cooperative-competitive mechanisms. Firstly, compared with the existing results, our paper uses the condition of containing a directed spanning to replace that of strong connectivity, and gets a lager range of ε to guarantee that limk→+∞Pk exists, which greatly improves the famous Perron–Frobenius

The differential Riccati equation appears in different fields of applied mathematics like control and system theory. Recently, Galerkin methods based on Krylov subspaces were developed for the autonomous differential Riccati equation. These methods overcome the prohibitively large storage requirements and computational costs of the numerical solution. Known solution formulas are reviewed and extended