Exponential synchronization of a Markovian jump complex dynamic network with piecewise-constant transition rates and distributed delay-Reference-Cited by-同舟云学术

Exponential synchronization of a Markovian jump complex dynamic network with piecewise-constant transition rates and distributed delay

Published:2018-10-15 Issue:9 Volume:41 Page:2535-2544
ISSN:0142-3312
Container-title:Transactions of the Institute of Measurement and Control
language:en
Short-container-title:Transactions of the Institute of Measurement and Control

Author:

Akbari Nasim¹,Sadr Ali¹,Kazemy Ali²

Affiliation:

1. Department of Electrical Engineering, Iran University of Science and Technology, Iran

2. Department of Electrical Engineering, Tafresh University, Iran

Abstract

The exponential synchronization of a Markovian jump complex dynamical network with piecewise-constant transition rates is investigated. Two distinct types of time-varying delay are considered for the system; one is distributed time-delay for each node, the other is discrete coupling time-delay. Based on an augmented Lyapunov–Krasovskii functional, some sufficient conditions are derived and expressed in the form of linear matrix inequalities, which are formulated in such a manner as to determine the controller gain matrices. Finally, an example is given to illustrate the effectiveness and validity of the proposed method.

Publisher

SAGE Publications

Subject

Instrumentation

Link

http://journals.sagepub.com/doi/pdf/10.1177/0142331218804005

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