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...

In this article, we characterize the global asymptotic and exponential stability of nonlinear switching retarded systems through direct converse Lyapunov-Krasovskii theorems. Thanks to these theorems, a link between an unforced system input-to-state property is obtained. An example illustrating applicability our results given.

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

In this paper, we explore the finite-time synchronization of Clifford-valued neural networks with distributed delays. To address problem associated non-commutativity pertaining to multiplication Clifford numbers, original n-dimensional drive and response systems are firstly decomposed into corresponding 2m-dimensional real-valued counterparts. On basis a new Lyapunov–Krasovskii functional, suit...

In this paper, we are discuss about the issue of synchronization for singular complex dynamical networks with Markovian jumping parameters and additive time-varying delays through pinning control by Takagi-Sugeno (T-S) fuzzy theory.The complex dynamical systems consist of m nodes and the systems switch from one mode to another, a Markovian chain with glorious transition probabili...