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 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),...

The problem of the stability of a linear system with an interval time-varying delay is investigated. A new Lyapunov–Krasovskii functional that fully uses information about the lower bound of the time-varying delay is constructed to derive new stability criteria. It is proved that the proposed Lyapunov–Krasovskii functional can lead to less conservative results than some existing ones. Based on ...

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...

The paper is devoted to stability analysis of discrete-time time-delay systems, obtained after explicit Euler discretization (locally) homogeneous continuous-time models. results are derived by applying the Lyapunov--Krasovskii theory. A generic structure functional given that suits for any system nonzero degree (and it can also be used dynamics admitting a approximation). conditions utilized d...

Abstract— This paper concentrates upon a new stabilization for nonlinear time-delay systems via the Takagi-Sugeno (TS) fuzzy model approach. At first, we represent a nonlinear timedelay system as a kind of neutral-type TS fuzzy systems with a block delay. And then, we propose a new fuzzy weightingdependent Lyapunov-Krasovskii functional (FWD-LKF), which directly includes the fuzzy weighting fun...

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...