### Neutral Passivity Filtering for Uncertain Markovian Jump Systems with Neutral-Retarded Mixed Time-Varying Delays

ZHAO Guowei, ZHUANG Guangming, XIA Jianwei, SUN Wei, CHEN Guoliang

1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059
• Received:2020-09-15 Revised:2021-06-14 Published:2022-03-16

ZHAO Guowei, ZHUANG Guangming, XIA Jianwei, SUN Wei, CHEN Guoliang. Neutral Passivity Filtering for Uncertain Markovian Jump Systems with Neutral-Retarded Mixed Time-Varying Delays[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(12): 3374-3394.

This paper deals with the problems of passivity analysis and passivity-based neutral-retarded mixed delays filter design for neutral Markovian jump systems (NMJSs) with time-varying delays and norm-bounded parametric uncertainties. Firstly, new delay-dependent conditions for the NMJSs are obtained by constructing a mode-dependent Lyapunov functional and introducing some free weight matrices (FWMs). Secondly, new mode-dependent neutral passivity filter is designed to ensure the passivity of the augmented neutral Markovian jump filtering error system via linear matrix inequalities (LMIs). A numerical example and a partial element equivalent circuit (PEEC) are utilized to show the effectiveness of the method.

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