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Stabilization for Positive Markovian Jump Systems with Actuator Saturation

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Abstract

This paper considers stabilization for positive Markovian jump systems in the presence of actuator saturation. Firstly, we use a Lyapunov function approach and convex analysis to derive sufficient conditions for stochastic stability and positivity of the continuous- and discrete-time cases. Then, the state feedback controller design and the estimate of the domain of attraction are presented by solving a convex optimization problem with linear matrix inequalities. Finally, numerical examples are given to demonstrate the validity of the main results.

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Acknowledgments

This work is supported by Key Program of National Natural Science Foundation of China under Grant Nos. 61573088 and 61433004.

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Wenhai Qi, Xianwen Gao, Lian Lian & Jiyang Wang

  2. School of Science, Harbin Institute of Technology, Weihai, 264209, China

    Yonggui Kao

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  1. Wenhai Qi
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Correspondence to Wenhai Qi.

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Qi, W., Gao, X., Kao, Y. et al. Stabilization for Positive Markovian Jump Systems with Actuator Saturation. Circuits Syst Signal Process 36, 374–388 (2017). https://doi.org/10.1007/s00034-016-0307-6

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  • DOI: https://doi.org/10.1007/s00034-016-0307-6

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