This paper investigates the exponential stability of uncertain time delay systems using a novel descriptor redundancy approach based on partitioning. First, original system is casted into an equivalent singular state–space representation by introducing redundant state variables so that resulting progressively reduced. From model and applying Lyapunov Functional method, sufficient condition Line...

Abstract: In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems with multiple delays are derived in the shape of Lyapunov inequality. Numerical examples are presented to demonstrate the applicabilit...

In this paper, linear matrix inequality (LMI) approach for synchronization of chaotic fuzzy cellular neural networks (FCNNs) with discrete and unbounded distributed delays based on sampled-data controlis investigated. Lyapunov-Krasovskii functional combining with the input delay approach as well as the free-weighting matrix approach are employed to derive several sufficient criteria in terms of...

This paper studies the H∞ control problem for a class of Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delays and actuator saturation, where the delay in neutral-type term includes a fast-varying case (i.e., the derivative of delay is more than 1), which is never considered in current literature for this systems. The new LMI-based delaydependent H∞ control results for this systems...

In this paper, we give sufficient conditions to guarantee exponential decay of solutions to zero of the time varying delay differential equation of first order. By using the Lyapunov-Krasovskii functional approach, we establish new results on the exponential decay of solutions, which include and improve some related results in the literature. of linear impulsive differential equations with dist...

Keywords: Continuous time difference systems Exponential stability Lyapunov–Krasovskii functionals a b s t r a c t This paper provides further Lyapunov results for the exponential stability of linear continuous time difference system involving discrete and distributed delays. We consider such a class of systems in the case when the discrete and distributed delays are independent thus completing...

This paper presents the robust stability criteria for uncertain genetic regulatory networks with time-varying delays. One key point of the criterion is that the decomposition of the matrix D̃ into D̃ = D̃1 + D̃2. This decomposition corresponds to a decomposition of the delayed terms into two groups: the stabilizing ones and the destabilizing ones. This technique enables one to take the stabilizing ...

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 29 July 2020Accepted: 18 May 2021Published online: 26 August 2021Keywordsinput-to-state stability, converse theorems, Lyapunov--Krasovskii functionals, retarded functional differential equations, switching systemsAMS Subject Headings34K20, 34K34, 34K35, 93C10, 93C30Public...