Finite-time synchronization of sampled-data Markovian jump complex dynamical networks with additive time-varying delays based on dissipative theory

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:368

Article

Alsaedi, Ahmed¹  Usha, M.²  Ali, M. Syed²  Ahmad, Bashir¹ 

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

关键词: Complex dynamical networks (CDNs);    Markovian jumping parameters;    Synchronization;    Additive time-varying delays;    Sampled-data control;    Dissipativity;   

DOI  :  10.1016/j.cam.2019.112578

来源: Elsevier

【 摘 要 】

This paper is concerned with the problem of finite-time synchronization issue of sampled data Markovian jump complex dynamical networks (MJCDNs) with additive time-varying delays based on dissipative theory. Sufficient conditions to guarantee the finite-time stability of MJCDNs with additive time-varying delays are presented. Sampled-data control with stochastically varying sampling periods is considered. The closed-loop system is not just finite-time bounded but also satisfies the dissipativity conditions. Further we handled a nonuniform sampled data controller. By utilizing the properties of Kronecker product combined with the appropriate Lyapunov-functionals technique, a novel delay-dependent finite-time stability of dissipativity rule is derived in terms of linear matrix inequalities (LMIs) to ensure that the delayed complex dynamical systems to be dissipative. Finally numerical examples are given to represent the applicability of the proposed approach. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free