Paper Info
Title
Finite-time synchronization of sampled-data Markovian jump complex dynamical networks with additive time-varying delays based on dissipative theory.
Abstract
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.
Year
DOI
Venue
2020
10.1016/j.cam.2019.112578
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
34D20,34K20,34K40
Applied mathematics,Synchronization,Kronecker product,Matrix (mathematics),Mathematical analysis,Dissipative system,Markovian jump,Dynamical systems theory,Sampling (statistics),Mathematics,Bounded function
Journal
Volume
ISSN
Citations 
368
0377-0427
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
A. Alsaedi174963.55
M Usha200.68
M. Syed Ali351839.49
Bashir Ahmad435655.67