This paper associates with stability analysis of linear impulsive stochastic delay systems (ISDSs). Although many conclusions about the ISDSs have been obtained based on Lyapunov’s method, relatively few research theories delay-dependent less conservativeness established. Therefore, we introduce an appropriate Lyapunov-Krasovskii functional (LKF) to work out this problem, and a novel exponentia...

This paper addresses the H∞ filtering problem for time-delay systems with parameter uncertainty in a given convex polytope. To design a filter guaranteeing the asymptotic stability of the system with a prescribed H∞ performance level, a model transformation is first applied employing a twoterm approximation for delayed state variables, which has a smaller approximation error than the error give...

This paper examines the problem of locally exponentially stability for impulsive discrete-time delayed neural networks (IDDNNs) with actuator saturation. By fully considering delay information state considered system, a new delay-dependent polytopic representation within framework is obtained. Based on delay-independent approach, saturation term expressed as convex combination. In order to obta...

A hybrid-triggered controller is designed in this article to analyze the stabilization of parabolic type partial differential equations (PDEs) with deception attacks and disturbances. The by combining time-triggered event-triggered controllers aid a Bernoulli random variable. nonlinear function considered describe attack signal probability occurrence signals will be determined An <inline-formul...

This paper addresses the problem of stability analysis for linear systems with interval timevarying delay. A general form of the delay-fractioning approach is proposed, which not only takes advantage of all possible information on the delay's lower bound, but also exploits further information between the delay's upper and lower bounds. A new Lyapunov-Krasovskii functional (LKF) is constructed a...

in this paper, the problems of robust stabilization and$h_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the takagi-sugeno (t-s) fuzzymodel have been studied. by constructing a new lyapunov-krasovskiifunctional (lkf) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $h_{infty}$ control scheme are p...

This paper addresses the problem that, the discretization of stabilizing the continuous bilateral teleoperation controllers for digital implementation may lead to instable teleoperation or poor performance. With this problem, a discrete approach for the novel proxy teleoperation control scheme under time-varying delays is considered in the paper. The principle results involve sufficient conditi...

In this paper, we focuses on the observer design problem for nonlinear neutral systems. The problem addressed that of designing a full-order observer that guarantees the asymptotically stable of the error dynamic system. The sufficient stability conditions are derived via Lyapunov–Krasovskii functionals (LKF). When these conditions, which are given in terms of linear matrix inequalities (LMIs),...

This article focuses on the design of an adaptive event-triggered sampled-data control (ETSDC) mechanism for synchronization reaction-diffusion neural networks (RDNNs) with random time-varying delays. Different from existing ETSDC schemes predetermined constant thresholds, is proposed RDNNs. The can be promptly adaptively adjusted since threshold function based current sampled and latest transm...

In this paper, we present a finite-time synchronization (FTS) for quantized Markovian-jump time-varying delayed neural networks (QMJTDNNs) via event-triggered control. The QMJTDNNs take into account the effects of quantization on system dynamics and utilize combination FTS communication to mitigate delays, error, efficient synchronization. We analyze convergence properties proposed method provi...