DocumentCode :
3528791
Title :
Synchronization of delayed dynamical networks with switching topologies
Author :
Tao Liu ; Ming Cao
Author_Institution :
Fac. of Math. & Natural Sci., Univ. of Groningen, Groningen, Netherlands
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
2623
Lastpage :
2628
Abstract :
To reduce the conservativeness of switching signals introduced by a common average dwell-time condition, this paper uses the mode-dependent average dwell-time method to study the global exponential synchronization problem of a class of dynamical networks with switching topologies as well as time-varying coupling delays. First, we extend the mode-dependent average dwell-time method into the stability analysis of switched linear systems with time-varying delays. Then, we apply the obtained results to studying the synchronization problem of a particular network whose nodes have Lur´e type dynamics. A new delay-dependent sufficient condition is established in terms of linear matrix inequalities (LMIs) that guarantees the solvability of the problem, and a class of synchronizing switching signals, in which each subnetwork has its own average dwell-time scheme, is identified. Finally, a numerical example is given to show the effectiveness of the proposed results.
Keywords :
asymptotic stability; delays; linear matrix inequalities; synchronisation; time-varying systems; LMI; Lur´e type dynamics; delay-dependent sufficient condition; delayed dynamical networks synchronization; global exponential synchronization problem; linear matrix inequalities; mode-dependent average dwell-time method; stability analysis; switched linear systems; switching topologies; synchronizing switching signals; time-varying coupling delays; Couplings; Delays; Network topology; Switched systems; Switches; Synchronization; Topology;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760278
Filename :
6760278
Link To Document :
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