Interval time varying delays

This paper investigates the problem of finite-time stability for discrete-time neural networks with sector-bounded neuron activation functions and interval-like timevarying delay. The extended reciprocally convex approach is used to establish a delay-dependent sufficient condition to ensure finite-time stability for this class of systems.

12p viling 11-10-2024 0 0   Download

In this paper, the problem of exponential stability for a class of nonlinear neutral systems with interval time-varying delay is studied. Based on improved Lyapunov-Krasovskii functionals combine with Leibniz-Newton’s formula, new delay-dependent sufficient conditions for the exponential stability of the systems are established in terms of linear matrix inequalities (LMIs), which allows to compute the maximal bound of the exponential stability rate of the solution.

11p tamynhan8 04-11-2020 15 2   Download

This paper addresses the problem of ℋ∞ finite-time boundedness for discrete-time neural networks with interval-like time-varying delays. First, a delay-dependent finite-time boundedness criterion under the finite-time ℋ ∞ performance index for the system is given based on constructing a set of adjusted Lyapunov–Krasovskii functionals and using reciprocally convex approach.

14p tamynhan6 14-09-2020 15 1   Download

This paper deals with the problem of asymptotic stability for a class of switched nonlineardiscrete systems with time-varying delay. The time-varying delay is assumed to be belong to a given interval in which the lower bound of delay is not restricted to zero. A linear matrix inequality (LMI) approach to asymptotic stability of the system is presented. Based on the Lyapunov functional, delay-depenent criteria for the asymptotic stability of the system are established via linear matrix inequalities.

6p doctorstrange1 21-06-2018 32 2   Download