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New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

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  • Control Theory and Applications
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Abstract

The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.

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Author information

Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Lihua Zhang & Wenhai Qi

  2. College of Science, Harbin Institute of Technology, Weihai, 264200, China

    Yonggui Kao

  3. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Xianwen Gao

  4. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Longjiang Zhao

Authors
  1. Lihua Zhang
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  2. Wenhai Qi
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  3. Yonggui Kao
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  4. Xianwen Gao
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  5. Longjiang Zhao
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Corresponding author

Correspondence to Wenhai Qi.

Additional information

Recommended by Associate Editor Huanqung Wang under the direction of Editor Myo Taeg Lim. This work is supported by National Natural Science Foundation of China (61703231), (61573088) and (61473097), Natural Science Foundation of Shandong (ZR2017QF001) and (ZR2017MF063), and Postdoctoral Science Foundation of China (2017M612235).

LiHua Zhang was born in Jinnig, Shandong Province, P. R. China, in 1972. He received his B.S. degree in automation from Shandong University in 1994 and his M.S. degree from Qufu Normal University in 2005. He works in Qufu Normal University. His research work focus on complex industry process and intelligent control, Markovian jump systems, etc.

Wenhai Qi was born in Taian, Shandong Province, P. R. China, in 1986. He received his B.S. degree in automation from Qufu Normal University in 2008 and his M.S. degree from Qufu Normal University in 2013. In 2016, he received his Ph.D. degree in control theory and control engineering from Northeastern University. He works in Qufu Normal University. His research work focus on Markovian jump systems, positive systems, etc.

Yonggui Kao received the B.E. degree from Beijing Jiaotong University in 1996. He received his M.E. and Ph.D. degrees from Ocean University of China, in 2005 and 2008, respectively. He now is an Associate Professor at Department of Mathematics, Harbin Institute of Technology (Weihai). His research interest covers stochastic systems, impulsive systems, singular systems, Markovian jumping systems, artificial intelligence, neural networks, stability theory and sliding mode control.

Xianwen Gao received his B.S. degree from Shenyang University of Chemical Technology in 1978 and his M.S. degree from Northeastern University in 1993. In 1998, he received his Ph.D. degree in control theory and control engineering from Northeastern University. He is currently a professor in Northeastern University. His main research interests are modeling of complex industry process and intelligent control, stochastic jump systems, etc.

Longjiang Zhao was born in Rizhao, Shandong Province, P. R. China, in 1983. In 2011, he received his Ph.D. degree from Beijing Institute of Technology. He works in Qufu Normal University. His research work focus on complex industry process and intelligent control, etc.

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Zhang, L., Qi, W., Kao, Y. et al. New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay. Int. J. Control Autom. Syst. 16, 649–658 (2018). https://doi.org/10.1007/s12555-017-0020-7

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  • DOI: https://doi.org/10.1007/s12555-017-0020-7

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