Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays

Hongjie Li (), Wing-Keung Wong and Yang Tang ()
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Hongjie Li: Jiaxing University
Yang Tang: Donghua University

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 2, No 12, 496-516

Abstract: Abstract The synchronization problem for a class of complex dynamical networks with stochastic disturbances and probabilistic interval time-varying delays is investigated. Based on the stochastic analysis techniques and properties of the Kronecker product, some delay-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities (LMIs). The solvability of derived conditions depends not only on the size of the delay, but also on the probability of Bernoulli stochastic variables. A numerical example is given to illustrate the feasibility and effectiveness of the proposed method.

Keywords: Stochastic complex dynamical networks; Synchronization stability; Time-varying delay (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9917-0

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