Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 57, Issue 3, Pages 754-760Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2011.2166665
Keywords
Coupled system; stochastic systems; switched systems; synchronization; time-varying
Funding
- National Science Foundation of China [60974015]
- Graduate Innovation Foundation of Fudan University [EYH1411040]
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Synchronization in complex networks with time dependent coupling and stochastically switching coupling structure is discussed. A novel approach investigating synchronization based on the scramblingness property of the coupling matrix is proposed. Some sufficient condition for a network with general time-varying coupling structure to reach complete synchronization is provided. Based on the general theorem, networks with stochastically switching coupling structures is investigated. In particular, two kinds of stochastic switching coupling networks are addressed: (a) independent and identically distributed switching processes and (b) Markov jump processes. In both cases, some sufficient condition for almost sure synchronization of the networks is given. Also, numerical simulations are provided to illustrate the theoretical results.
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