Exponential synchronization of delayed Markovian jump complex networks with generally uncertain transition rates

Ruiping Xu, Yonggui Kao and Cunchen Gao

Applied Mathematics and Computation, 2015, vol. 271, issue C, 682-693

Abstract: This paper investigates the exponential synchronization problem for a class of Markovian jump complex networks(MJCNs) with generally uncertain transition rates(GUTRs). In this GUTR neural network model, each transition rate can be completely unknown or only its estimate value is known. This new uncertain model could be applied to many practical cases. Based on the Lyapunov functional method and Kronecker product technique, a sufficient condition on the exponentially synchronization in mean square is derived in terms of linear matrix inequalities (LMIs)-which can be easily solved by using the Matlab LMI toolbox. Finally, one numerical example is well-studied to illustrate the effectiveness of the developed method.

Keywords: Exponential synchronization; Markovian jump complex networks; Generally uncertain transition rates; Kronecker product (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:682-693

DOI: 10.1016/j.amc.2015.09.032

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