State estimation of markovian jump neural networks with mixed time delays

Authors:
He Huang;Xiaoping Chen
Affiliations:
School of Electronics and Information Engineering, Soochow University, Suzhou, P.R. China;School of Electronics and Information Engineering, Soochow University, Suzhou, P.R. China
Venue:
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Year:
2012

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Abstract

This paper is concerned with the state estimation problem of Markovian jump neural networks with discrete and distributed delays. A stochastic Lyapunov functional with a triple-integral term is constructed to handle it. A delay-dependent design criterion is derived such that the resulting error system is mean square exponentially stable with a prescribed decay rate. The gain matrices of the state estimator and the decay rate can be obtained by solving some coupled linear matrix inequalities.