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Stability and output feedback stabilization for systems with Markovian switching and impulse effects

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Abstract

We investigate the exponential stability in the mean square sense for the systems with Markovian switching and impulse effects. Based on the statistic property of the Markov process, a stability criterion is established. Then, by the parameterizations via a family of auxiliary matrices, the dynamical output feedback controller can be solved via an LMI approach, which makes the closed-loop system exponentially stable. A numerical example is given to demonstrate the method.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Heilongjiang University, Harbin Heilongjiang, 150080, China

    Shen Cong

  2. Department of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu, 210094, China

    Yun Zou & Yijun Zhang

Authors
  1. Shen Cong
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  2. Yun Zou
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  3. Yijun Zhang
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Corresponding author

Correspondence to Shen Cong.

Additional information

This work was supported by the National Natural Science Foundation of China (No.60974027).

Shen CONG was born in 1976. He received his Ph.D. degree in Control Theory and Control Engineering from Southeast University, Nanjing, China, in 2007. He was a lecturer at Nanjing University of Science and Technology from 2007 to 2009. He is currently with Heilongjiang University. His research interests include switched systems, stochastic systems, and nonlinear systems control.

Yun ZOU was born in 1962. He received his Ph.D. degree in Control Theory and Control Engineering from Nanjing University of Science and Technology in 1990. Currently, he is a professor of Automatic Institute, Nanjing University of Science and Technology. His research interests include differential-algebraic equation systems, two-dimensional systems, and so on.

Yijun ZHANG was born in 1979. He received his Ph.D. degree in Control Theory and Control Engineering from Donghua University, Shanghai, China, in 2008. Currently, he is a lecturer at Nanjing University of Science and Technology. His research interests include neural networks, networked control systems, and so on.

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Cong, S., Zou, Y. & Zhang, Y. Stability and output feedback stabilization for systems with Markovian switching and impulse effects. J. Control Theory Appl. 8, 453–456 (2010). https://doi.org/10.1007/s11768-010-8175-2

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  • DOI: https://doi.org/10.1007/s11768-010-8175-2

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