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Global exponential synchronization of stochastic switching networks with time‐varying delay
Author(s) -
Liu Weikai,
Guan ZhiHong
Publication year - 2011
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.301
Subject(s) - synchronization (alternating current) , control theory (sociology) , markov chain , computer science , mode (computer interface) , topology (electrical circuits) , control (management) , exponential stability , mathematics , operating system , physics , combinatorics , nonlinear system , artificial intelligence , machine learning , quantum mechanics
This paper is concerned with the global exponential synchronization of stochastic delayed switching networks via hybrid control. The network under investigation is quite general to reflect the reality, where the network topology consists of r modes and switches from one mode to another according to a Markovian chain with known transition probability. Parameter uncertainties, time varying delay and stochastic disturbances are all taken into account in this study. Based on the Lyapunov functional method and stochastic analysis techniques, some new criteria for the global robust synchronization via hybrid control are established. Finally, one example with numerical simulation is given for illustration.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society