H∞ filtering of markovian jumping neural networks with time delays

Authors:
He Huang;Xiaoping Chen;Qiang Hua
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;School of Electronics and Information Engineering, Soochow University, Suzhou, P.R. China
Venue:
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Year:
2013

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Abstract

This paper focuses on studying the filtering problem of Markovian jumping neural networks with time delays. Based on a stochastic Lyapunov functional, a delay-dependent design criterion is presented under which the resulting filtering error system is stochastically stable and a prescribed H∞ performance is guaranteed. It is shown that the gain matrices of the desired filter and the optimal performance index are simultaneously obtained by handing a convex optimization problem subject to some coupled linear matrix inequalities, which can be efficiently solved by some standard algorithms.