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Exponential stability for uncertain neutral systems with Markov jumps

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Abstract

This paper deals with the global exponential stability problems for stochastic neutral Markov jump systems (MJSs) with uncertain parameters and multiple time-delays. The delays are respectively considered as constant and time varying cases, and the uncertainties are assumed to be norm bounded. By selecting appropriate Lyapunov-Krasovskii functions, it gives the sufficient condition such that the uncertain neutral MJSs are globally exponentially stochastically stable for all admissible uncertainties. The stability criteria are formulated in the form of linear matrix inequalities (LMIs), which can be easily checked in practice. Finally, two numerical examples are exploited to illustrate the effectiveness of the developed techniques.

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Authors and Affiliations

  1. Institute of Automation, Jiangnan University, Wuxi, Jiangsu, 214122, China

    Shuping He & Fei Liu

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  1. Shuping He
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  2. Fei Liu
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Correspondence to Shuping He.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60574001), Program for New Century Excellent Talents in University (No.050485) and Program for Innovative Research Team of Jiangnan University.

Shuping HE was born in 1983. He received his B.S. degree in Automation from Jiangnan University. Currently, he is a Ph.D. candidate at the Institute of Automation of Jiangnan University. His current research includes stochastic system fault detection, filtering and robust control, etc.

Fei LIU was born in 1965. He received the Ph.D. degree in Control Science and Control Engineering from Zhejiang University. He is currently a professor of Jiangnan University at the Institute of Automation. His current research includes advanced control theory and application, industrial process monitoring, and system fault detection and diagnosis, etc.

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He, S., Liu, F. Exponential stability for uncertain neutral systems with Markov jumps. J. Control Theory Appl. 7, 35–40 (2009). https://doi.org/10.1007/s11768-009-7220-5

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  • DOI: https://doi.org/10.1007/s11768-009-7220-5

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