Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays

doi:10.1088/1674-1056/23/2/020205

Abstract In this paper, the problem of exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and Mode-dependent probabilistic time-varying coupling delays is investigated. The sampling period is assumed to be time-varying and bounded. The information of probability distribution of the time-varying delay is considered and transformed into parameter matrices of the transferred complex dynamical network model. Based on the condition, the design method of the desired sampled data controller is proposed. By constructing a new Lyapunov functional with triple integral terms, delay-distribution-dependent exponential synchronization criteria are derived in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

Keywords: complex networks exponential synchronization mode-dependent time-varying delays linear matrix inequalities sampled-data control

Received: 12 June 2013
Revised: 09 July 2013
Accepted manuscript online:

PACS:	02.30.Ks	(Delay and functional equations)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the NBHM Research Project (Grant Nos. 2/48(7)/2012/NBHM(R.P.)/R and D Ⅱ/12669).

Corresponding Authors: R. Rakkiyappan, S. Lakshmanan
E-mail: rakkigru@gmail.com;lakshm85@gmail.com

About author: 02.30.Ks; 05.45.Gg; 05.45.Xt

Cite this article:

R. Rakkiyappan, N. Sakthivel, S. Lakshmanan Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays 2014 Chin. Phys. B 23 020205

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Exponential synchronization of complex dynamical networks with Markovian jumping parameters using sampled-data and mode-dependent probabilistic time-varying delays

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