Dissipativity analysis of singular systems with Markovian jump parameters and mode-dependent mixed time-delays

Authors:
Wen-Xia Cui;Jian-An Fang;Yue-Lin Shen;Wen-Bing Zhang
Affiliations:
School of Information Science and Technology, Donghua University, Shanghai 201620, PR China;School of Information Science and Technology, Donghua University, Shanghai 201620, PR China;Department of Mechanical and Electrical Engineering, Zilang Cocational Technical College, Nantong, Jiangsu 226000, PR China;School of Information Science and Technology, Donghua University, Shanghai 201620, PR China
Venue:
Neurocomputing
Year:
2013

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Abstract

In this paper, the problem of delay-dependent @a-dissipativity analysis is investigated for a general class of singular systems with Markovian jump parameters and mode-dependent mixed time-delays. By using the novel Lyapunov-Krasovskii functional and stochastic analysis technology, the new criteria are derived to guarantee that the addressed singular systems are stochastically admissible and strictly (Q,R,S)-@a-dissipative. Numerical examples are presented to illustrate the effectiveness and less conservativeness of the proposed theoretical results.