Volume 42, Issue 3 pp. 982-998
RESEARCH ARTICLE

Robust partially mode-dependent H filtering for discrete-time nonhomogeneous Markovian jump neural networks with additive gain perturbations

Dandan Zheng

Dandan Zheng

College of Internet of Things Engineering, Hohai University, Changzhou, China

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Mingang Hua

Corresponding Author

Mingang Hua

College of Internet of Things Engineering, Hohai University, Changzhou, China

Correspondence

Mingang Hua, College of Internet of Things Engineering, Hohai University, Changzhou 213022, China.

Email: [email protected]

Communicated by: Q. Chen

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Junfeng Chen

Junfeng Chen

College of Internet of Things Engineering, Hohai University, Changzhou, China

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Cunkang Bian

Cunkang Bian

College of Internet of Things Engineering, Hohai University, Changzhou, China

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Weili Dai

Weili Dai

College of Internet of Things Engineering, Hohai University, Changzhou, China

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First published: 03 December 2018
Citations: 3

Abstract

This paper studies the robust partially mode-dependent H filtering for nonhomogeneous Markovian jump neural networks with additive gain perturbations. The discrete time-varying jump transition probability matrix is considered to be a polytope set. A partially mode-dependent filter with additive gain perturbations is constructed to increase the robustness of the filter, which is subjects to H performance index. Based on the Lyapunov function approach, sufficient conditions are established such that the filtering error system is robustly stochastically stable. The efficiency of the new technique is illustrated by an illustrative example and a biological network example.

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