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Further improvement of stability criterion and BRL for Markovian jump systems with interval time-varying delay

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Abstract

This paper deals with delay-dependent stochastic stability and bounded real lemma (BRL) for Markovian jump linear systems with interval time-varying delays. By constructing some new Lyapunov functionals and using the Jensen’s integral inequality method, the free weighting matrix method, the convex combination method and the delay decomposition approach integratedly, some less conservative delay-dependent stability criteria and BRL are established. Numerical examples are given to show the effectiveness of the proposed method.

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Authors and Affiliations

  1. Faculty of Electrical and Control Engineering, Liaoning Technical University, Huludao Liaoning, 125105, China

    Jianchen Liu

  2. College of Electrical and Information Engineering, Hunan University, Changsha Hunan, 410082, China

    Jing Zhang, Hongqiang Zhang & Min He

Authors
  1. Jianchen Liu
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  2. Jing Zhang
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  3. Hongqiang Zhang
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  4. Min He
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Corresponding author

Correspondence to Jianchen Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 61174140).

Jianchen LIU is a lecturer in Faculty of Electrical and Control Engineering at Liaoning Technical University, China. He received the M.S. and Ph.D. degrees in Automatic Control from Hunan University in 2004 and 2011. His research interests include networked control and intelligent control.

Jing ZHANG is a professor in the College of Electrical and Information Engineering at Hunan University. He received the M.S. and Ph.D. degrees in Automatic Control from Hunan University in 1984 and 1997. His research interests include modeling, analysis and computer control of complex control systems.

Hongqiang ZHANG is a Ph.D. candidate in the College of Electrical and Information Engineering at Hunan University, China. His research interests include networked mobile robot control, manipulator path planning, and intelligent control.

Min HE is a lecturer in the College of Electrical and Information Engineering in Hunan University. Her research interests include computer version, pattern recognition and intelligent control.

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Liu, J., Zhang, J., Zhang, H. et al. Further improvement of stability criterion and BRL for Markovian jump systems with interval time-varying delay. J. Control Theory Appl. 10, 397–402 (2012). https://doi.org/10.1007/s11768-012-9282-z

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  • DOI: https://doi.org/10.1007/s11768-012-9282-z

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