This article discusses the problem of exponential stability for a class of hybrid neutral stochastic differential delay equations with highly nonlinear coefficients and different structures in different switching modes. In such systems, the coefficients will satisfy the local Lipschitz condition and suitable Khasminskii-types conditions. The set of switching states will be divided into two subsets

This paper investigates the sampled-data-based consensus problem of multi-agent systems (MASs) under asynchronous denial-of-service (DoS) attacks. In order to describe asynchronous DoS attacks, a new definition of complete DoS attack and novel double-layer switched systems are proposed. A complete DoS attack refers to a DoS attack that consists of several consecutive successful DoS attacks. While a

The present paper proposes a new robust fault tolerant control (RFTC) design for continuous-time switched systems. The main objective is to design in an integrated way the couple (controller, observer) that allows to stabilize switched systems even in the presence of actuator faults. A state/fault estimation observer is designed to simultaneously estimate system state and actuator faults. Based on

This paper studies the finite-time stability (FTS) for a class of hybrid dynamical systems with deviating argument. An improved hybrid control scheme including sampled-data control as well as impulsive control is presented. Based on the theory of differential equations with piecewise constant argument of generalized type (PCAG) and the method of average impulsive interval (AII), several Lyapunov-based

The present study focuses on designing the integral sliding-mode control (ISMC) for generalized Takagi–Sugeno (T–S) fuzzy singular stochastic systems by involving the Markovian jump type of system parameters. Distinct to the existing works, the present paper concerns about the derivation of sufficient conditions that ensure the global stability of considered T–S fuzzy stochastic singular Markovian

We present an investigation of stochastic evolution in which a family of evolution equations in L1 are driven by continuous-time Markov processes. These are examples of so-called piecewise deterministic Markov processes (PDMP’s) on the space of integrable functions. We derive equations for the first moment and correlations (of any order) of such processes. We also introduce the mean of the process

The aim of this paper is to study the stochastic SIS epidemic model with general incidence functional response under regime-switching. We derive a sufficient and almost necessary condition for the extinction and permanence of the epidemic system. Moreover, the rate of all convergences of the solution are also established. Our work generalizes and improves many existing results. Precisely, we obtain

By using a novel average dwell time approach, the stability problem for discrete-time switched systems with stable and unstable modes is investigated. First, the so-called weighted average dwell time is proposed and applied to reduce the conservativeness of stability results for the studied system whose all modes are stable. Then, combination the slow and fast weighted average dwell time, new stability

This paper proposes a stability criterion for linear systems with multi-rate sampled data by constructing novel Lyapunov functionals. The systems are represented as linear systems with input delay. The Lyapunov functionals consist of a quadratic function, an integral term related to the sampling intervals of each sensor and looped-functionals related to the sampling intervals of whole systems. In the

This work focuses on a class of regime-switching jump diffusion processes with a countably infinite state space for the discrete component. Such processes can be used to model complex hybrid systems in which both structural changes, small fluctuations as well as big spikes coexist and are intertwined. The paper provides weak sufficient conditions for Feller and strong Feller properties and irreducibility

In this paper, motivated by the need for distributed control of multi-agent networks consist of switched affine systems, a distributed leader following consensus controller is developed. Different from most existing methods with affine control multi-agent systems, switched affine multi-agent systems face additional difficulties in the analysis and control, meanwhile affine diffusive coupling consensus

In this paper, we study the event-triggered control problem for a kind of nonlinear time-varying system. Generally speaking we use the Lyapunov stability theory to solve an event-triggered tracking control problem of non-holonomic mobile robots. Firstly, we propose a continuous tracking control law using nonlinear state feedback. Under some proper assumptions, we use the linearization technique to

In this paper, we are concerned with stochastic stability of nonlinear positive systems with random switching signals. The random switching signals are triggered by a stochastic process which is independent of the state of the system. Our results provide sufficient conditions on global asymptotic stability in stochastic sense for nonlinear positive systems when individual subsystems are stable and

In the study, the issues of observer-based fault estimation (FE) as well as active fault-tolerant control (FTC) are considered based on a series of Takagi–Sugeno (T–S) fuzzy models against time-varying delay. Utilizing these obtained (k−1)th messages, a new k-step T–S fuzzy fast adaptive FE method is suggested to construct this observer. And a full-order controller is suggested to make the closed-loop

In this paper, the stabilization and H∞ control are considered for switched port-controlled Hamiltonian systems (SPCHSs) with unstabilizable modes via energy-based multiple Lyapunov functions (MLFs) methods and mode-dependent average dwell time (MDADT) strategies, where an improved MDADT-based tradeoff method is developed by a time subsequence technique to govern the running time of the asymptotic

This paper investigates the problem of H∞ control for continuous-time singular Markovian jump systems in the event-triggered framework. Different from the traditional event-triggered control systems, we introduce a dynamic event-triggered mechanism to monitor the data transmission from system plant to controller, which can lead to a smaller amount of data transmission and thus a higher efficiency of

This paper addresses the dwell-time issues on exponential stability and standard L1-gain performance of discrete-time singular switched positive systems with time-varying delays. The dwell-time constraints refer to mode-dependent minimum dwell time(MDMDT), mode-dependent constant dwell time(MDCDT) and mode-dependent ranged dwell time(MDRDT). At first, a sufficient delay-dependent condition of exponential

In this paper, the problem of exponential synchronization is studied for a class of stochastic coupled networks with semi-Markovian jump and multiple time delays. A nonlinear aperiodical intermittent control is designed to synchronize the underlying networks. By Lyapunov approach and graph theory, some new synchronization criteria are derived, which are closely related to the maximum uncontrolled ratio

Delay coupled systems have received a great deal of attention in recent years. However, delay coupled systems with hybrid switching diffusions (DCSHSD) have rarely been discussed and are still important. Thus, this paper is devoted to studying the stability of DCSHSD based on Razumikhin method. Then, combining Lyapunov method with graph theory, pth moment exponential stability of DCSHSD is studied

In this paper, a novel control scheme is proposed for model predictive control (MPC) of switched systems under arbitrarily generated undetectable switching signals. To this end, it is assigned that control scheme should simultaneously ensure reduction in optimization cost and maintain closed-loop stability. In other words, the control algorithm operates as single-mode in case corresponding conditions

This paper introduces a novel geometric framework to define and study hybrid systems. We exploit the geometry and topology of the set of jump points, where the instantaneous change of dynamics takes place, in order to gain controllability for the system. This approach allows us to describe new global controllability tests for hybrid control systems. We illustrate these results with several examples

In this paper, we study asymptotic stability problem of nonlinear impulsive dynamic systems and design an impulsive controller for a chaotic system. We propose new sufficient conditions for asymptotic stability of the origin of nonlinear impulsive dynamic systems via indefinite Lyapunov functions. Indefinite Lyapunov functions may increase both during some continuous portion of the trajectory and at

We provide novel sufficient conditions for stability of nonlinear and time-varying impulsive systems. These conditions generalize, extend, and strengthen many existing results. Different types of input-to-state stability (ISS), as well as zero-input global uniform asymptotic stability (0-GUAS), are covered by employing a two-measure framework and considering stability of both weak (decay depends only

The extinction and persistence of infective individuals are closely related to the random change of the environment. In this paper, via the random/stochastic SIRS models, we analyze qualitatively and quantitatively the impact caused by the random change of the environment. Our contributions consist of (i) giving some sufficient conditions on extinction (persistence) of the infectious individuals even

This paper is focused on a novel observer-based sliding mode control strategy for a class of uncertain stochastic Markovian jump systems with nonlinear perturbation. A novel linear switching surface scheme is established for the system with the aid of a simplified non-fragile observer, from which the corresponding reaching motion adaptive control law is synthesized. Then, a new sufficient condition

This paper investigates the event-triggered H∞ control of networked switched systems in the presence of Denial-of-Service (DoS) attacks. DoS attacks prevent the sampled information of system state and switching signal from transmitting among the network. The transmission delay on the switching of controller leads to asynchronous switching. By a suitable event-triggered scheme, the bound of the actual

Given imperfect vaccination we extend the existing non-smooth models by considering susceptible and vaccinated individuals enhance the protection and control strategies once the number of infected individuals exceeds a certain level. On the basis of global dynamics of two subsystems, for the formulated Filippov system, we examine the sliding mode dynamics, the boundary equilibrium bifurcations, and

This paper presents a novel electronic implementation based on a simple methodology to control the number of scrolls generated, by means of operational amplifiers and a single control parameter. Through the use of a Saturated Non Linear Function (SNLF) for the generation of a 9-scroll attractor, the number of scrolls is modified through a single parameter. In addition, the implemented system is also

The planning and development of a hybrid energy source network is based on an optimal analysis which takes into account the connection costs and the production facilities. This paper aims at modeling a hybrid multisource system by employing the methods of the thermostatted kinetic theory. Specifically a network of energy sources is allocated into a geographical domain, which is divided into different

This paper proposes a decentralized switched model-based predictive control (DeSwMPC) for handling coupling among subsystems in a distributed switched large-scale system composed of physically interconnected subsystems. In the distributed switched large-scale systems, interactions among subsystems vary over time according to an exogenous input signal named switching signal. The proposed controller

In this paper, the problem of non-fragile guaranteed-performance H∞ leader-following consensus protocol design for high-order multi-agent systems with Lipschitz nonlinearities and switching topologies is investigated. The communication interactions among all agents are described by a set of switching directed graphs, whose union contains a directed spanning tree rooting at the leader node. By constructing

Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. First, the underlying stabilization conditions are formulated in terms of parameterized matrix inequalities

This paper considers the stability of stochastic nonlinear discrete-time impulsive systems with time delay and Markov jumps. The transition probabilities of Markov jumps are finite piecewise homogeneous and the variations in the finite set are contingent on a higher-level transition probability matrix. By Lyapunov functional method and the discrete average impulsive interval approach, several novel

For switched stochastic nonlinear systems with time delay, an adaptive output-feedback tracking control problem is studied by using the dynamic surface control (DSC) method associated with a switched state observer. The time-varying delay terms are handled by constructing an appropriate stochastic Lyapunov–Krasovskii functional. The unknown nonlinearities in the considered systems are adaptively approximated

Heavy haul railway plays an important role in providing the convenient and economical services for mass goods transportation. In order to improve the efficiency of heavy haul train transportation, the driving strategy should be developed for the heavier and longer trains correspondingly. This paper addresses the robust efficient intermittent cruise control problem for heavy haul train with uncertain

We propose and analyze a stochastic model for opinion dynamics over social networks. In the scenario considered, each agent has an opinion level which belongs to a discrete set. At any given time, the agent takes an action 0 or 1 depending on the opinion, and this action can be seen as a binary signal that can influence the other agents in the network. The opinion updates based on the signal from a

This paper is concerned with the problem of sliding mode observer design and observer-based sliding mode controller synthesis for polynomial fuzzy singular systems with time-delay. The polynomial fuzzy model is constructed for singular nonlinear system to eliminate the upper and lower bounds restriction of states in the system and reduce the calculation quantity. An integral-type sliding surface function

This paper investigates the nonfragile H∞ filtering problem for a class of discrete-time nonlinear switched systems with quantization. The nonlinearity considered in our work is assumed to satisfy the Lipschitz conditions. The asynchronous switching is taken into consideration in the filter design. To study the asynchronous switching, a lag is introduced between the switching of subsystem and its matched

This paper considers the synchronization problem of nonlinear complex dynamical networks (CDNs) through intermittent pinning control approach on time scales. Both the internal delay and coupling delay are considered in the nonlinear CDNs. To deal with the nonlinearity in the delayed complex network, a new scale-limited differential inequality is proposed. Based on the Lyapunov approach and the theory

In this paper, the issue of adaptive fuzzy tracking control is addressed for a class of completely non-affine uncertain switched pure-feedback nonlinear systems with unmeasurable states. In such a system, the average dwell time switching rule is adopted, and its stability is discussed for the first time in the sense of finite time. A fuzzy logic system-based switched observer is constructed to approximate

This article proposes a design of robust integral sliding mode control under arbitrary time-dependent switching rules for uncertain switched systems (SSs). First, a description of the control problem for the switched system is presented, after which a recursive searching method of the common Lyapunov function (CLF) for the robust stable matrix set is proposed. Based on the proposed CLF searching method

This paper studies integral input-to-state stability (iISS) of nonlinear impulsive systems with time-delay in both the continuous dynamics and the impulses. Several iISS results are established by using the method of Lyapunov–Krasovskii functionals. For impulsive systems with iISS continuous dynamics and destabilizing impulses, we derive two iISS criteria that guarantee the uniform iISS of the whole

This paper is concerned with leader-following consensus of general linear multi-agent systems with random switching topologies, where the dwell time in each topology consists of a fixed part and random part, and the topology switching signal in random part is modeled by a semi-markov process. First, a semi-Markov switched system with state jumps is constructed, and the stochastic stability of the constructed

This paper discusses a special kind of hybrid system, named hybrid parametric system, which subsystem is characterized by parameters of model function. The parameters of model function represent the batch operation (discrete control). The joint optimization of both continuous and discrete control variables is named hybrid parametric optimal control problem. The corresponding necessary optimality conditions

This paper analyzes the problem of extended dissipative asynchronous filtering for Markov jump T–S fuzzy systems (MJTSFSs) with sensor failures and incomplete measurements. The highlight of this work lies in the fact that we introduce an asynchronous filter (AF) in which mode transition probability matrix (TPM) is non-homogeneous. “Asynchronous” means that the switching of the filters to be designed

This paper studies the event-triggered control problem for networked switched systems with actuator saturation. An event-triggering strategy is developed based on discrete event-triggered samplings. By which, a waiting time is first ensured to avoid the Zeno-like behavior, and then the data transmission is carried out once a desired performance-dependent condition is satisfied. According to the implementation

This paper is concerned with the resilient filtering problem for a class of discrete-time stochastic nonlinear systems with both time-varying delays and probabilistic distributed delays. In order to save the limited communication resource, stochastic communication protocols (SCPs) with multiple rules governed by a switching signal are employed to schedule the data transmission between the sensors and

We address formally the problem of opinion dynamics when the agents of a social network (e.g., consumers) are not only influenced by their neighbors but also by an external influential entity referred to as a marketer. The influential entity tries to sway the overall opinion as close as possible to a desired opinion by using a specific influence budget. We assume that the exogenous influences of the

In this paper, the pinning control problem is considered for the synchronization of a class of nonlinear discrete-time switched stochastic complex networks with identical nodes. The networks we considered are very general that account for nonlinear inner-coupling structures and nonidentical exogenous disturbances. In order to save the communication cost, a pinning controller under the event-triggered

This paper considers the global leader-following consensus of fractional-order multi-agent systems (FMASs), where the inherent dynamics is modeled to be discontinuous, and subject to nonlinear growth. Firstly, based on convex functions, three formulas on fractional derivative are established respectively. By applying the proposed formulas, a principle of convergence in finite-time for absolutely continuous

In this paper, the issue of asynchronous l1 control is discussed for a class of two-dimensional (2D) switched positive systems with polytopic uncertain parameters and impulses. By choosing a suitable co-positive Lyapunov function and utilizing the mode-dependent average dwell time technique, sufficient conditions can be derived under which the closed-loop system induced by a set of asynchronous state

In this study, distributed dynamic event-triggered controller containing Markov switching topologies is proposed in Markovian Complex Networks (MCNs). It is proved that the Zeno-behavior is avoided. Considering that the time delay and the controller vary with different modes in practical applications, two terms of the controller are designed to contain Markov switching. And mode-dependent Lyapunov–Krasovskii

The main concern of this paper is the study of degenerate sweeping process involving uniform prox-regular sets via an unconstrained differential inclusion by showing that the sets of solutions of the two problems coincide. This principle of reduction to unconstrained evolution problem can be seen as a penalization of the subdifferential of the distance function. Using this reduction technique, an existence

This article employs the hybrid-system-with-memory formalism to attain transmission intervals and delays that provably stabilize Networked Control Systems (NCSs). Nonlinear time-varying plants and controllers with variable discrete and distributed input, output and state delays along with nonconstant discrete and distributed network delays are considered. We bring together nominal system L2-stability

In this paper, a kind of event-based aperiodically intermittent pinning synchronization control strategies for linearly coupled complex networks over the directed topology is proposed. With the prescribed convergence performance dynamic, an event-triggered mechanism is presented to guarantee the globally exponential synchronization of the complex networks. Furthermore, a global and robust event-based

Due to the ability to handle uncertain nonlinear hybrid systems, barrier certificate based method has been widely used in safety verification problem. In this paper, an efficient framework, combining sum of squares programming with interval analysis, is proposed to generate barrier certificates for uncertain nonlinear hybrid systems. It utilizes the feature of bounded uncertainties to get a deterministic

This paper concerns with the mean square scaled consensus for multi-agent systems(MAS) with Markovian switching topologies and communication noises. A time-homogeneous Markov process governs the switching and each topology corresponds to a state of the process. Meanwhile, the communication noises are also considered for practical applications. We introduce a time-varying gain in control protocol which

We introduce an event-triggered algorithm for the stabilization of switched linear systems. We define a pseudo-Lyapunov function common to all the subsystems. The pseudo-Lyapunov function is compared, at every time instant, to an exponentially decreasing upper threshold. An event is generated when the two functions intersect, or when a new subsystem becomes active. The existence of a Lyapunov function

For a class of hybrid systems we introduce and characterize the almost always observability property, i.e. the possibility of reconstructing the current continuous component of the state, from the observed output, for almost all switching times. The optimal location of additional sensors that make the system almost always observable is investigated.

We present a new technique for calculating the Pötzsche, Siegmund, and Wirth’s region of exponential stability for a time scale, Sℂ(T). The approach taken here unifies and extends other results on this topic in the literature. We establish a tractable algorithm for computing Sℂ(T) in terms of the asymptotic extended graininesses of the time scale and their relative frequencies.