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http://dx.doi.org/10.14317/jami.2017.387

LOCAL SYNCHRONIZATION OF MARKOVIAN NEURAL NETWORKS WITH NONLINEAR COUPLING  

LI, CHUNJI (Department of Mathematics, Northeastern University)
REN, XIAOTONG (Department of Mathematics, Northeastern University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.3_4, 2017 , pp. 387-397 More about this Journal
Abstract
In order to react the dynamic behavior of the system more actually, it is necessary to solve the first problem of synchronization for Markovian jump complex network system in practical engineering problem. In this paper, the problem of local stochastic synchronization for Markovian nonlinear coupled neural network system is investigated, including nonlinear coupling terms and mode-dependent delays, that is less restriction to other system. By designing the Lyapunov-Krasovskii functional and applying less conservative inequality, we get a new criterion to ensure local synchronization in mean square for Markovian nonlinear coupled neural network system. The criterion introduced some free matrix variables, which are less conservative. The simulation confirmed the validity of the conclusion.
Keywords
Markovian coupled neural networks; nonlinear system; local synchronization; Kronecker product; Lyapunov-Krasovskii functional;
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