Authors: Jinling Liang Zidong Wang Xiaohui Liu
Publish Date: 2007/10/25
Volume: 53, Issue: 1-2, Pages: 153-165
Abstract
This paper is concerned with the problem of synchronization for stochastic discretetime driveresponse networks with timevarying delay By employing the Lyapunov functional method combined with the stochastic analysis as well as the feedback control technique several sufficient conditions are established that guarantee the exponentially meansquare synchronization of two identical delayed networks with stochastic disturbances These sufficient conditions which are expressed in terms of linear matrix inequalities LMIs can be solved efficiently by the LMI toolbox in Matlab A particular feature of the LMIbased synchronization criteria is that they are dependent not only on the connection matrices in the drive networks and the feedback gains in the response networks but also on the lower and upper bounds of the timevarying delay and are therefore less conservative than the delayindependent ones Two numerical examples are exploited to demonstrate the feasibility and applicability of the proposed synchronization approaches
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