Global Synchronization Stability for Stochastic Complex Dynamical Networks with Probabilistic Interval Time-Varying Delays |
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| Authors: | Hongjie Li W K Wong Yang Tang |
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| Institution: | 1.The College of Mathematics and Information and Engineering,Jiaxing University,Zhejing,P.R. China;2.The Institute of Textile and Clothing,Hong Kong Polytechnic University,Hong Kong,P.R. China;3.The College of Information Science and Technology,Donghua University,Shanghai,P.R. China;4.Potsdam Institute for Climate Impact Research,Potsdam,Germany |
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| 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. |
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