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Stabilization for Stochastic Nonlinear Differential Inclusion Systems with Time Delay

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Abstract

In this paper, the stabilization problem for stochastic non-linear differential inclusion systems with time delay is discussed. First, the definition of the exponential stability in mean square for stochastic differential inclusion is presented. Second, under the framework of the convex hull Lyapunov function, a continuous feedback law is designed to make the closed-loop system exponentially stable in mean square. Finally, two numerical examples are presented to demonstrate the effectiveness of the proposed controller for the stabilization problem discussed in this paper.

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Acknowledgments

The authors are grateful for the science and technology research project of Henan province (No. 152102310089) and the doctoral program of Henan University of Economics and Law.

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Authors and Affiliations

  1. Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China

    Zongcai Jiang, Jinjin Liu & Lili Zhang

  2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, School of Automation, Southeast University, Nanjing, 210096, China

    Jinjin Liu

Authors
  1. Zongcai Jiang
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  2. Jinjin Liu
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Correspondence to Zongcai Jiang.

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Jiang, Z., Liu, J. & Zhang, L. Stabilization for Stochastic Nonlinear Differential Inclusion Systems with Time Delay. Circuits Syst Signal Process 35, 4567–4583 (2016). https://doi.org/10.1007/s00034-016-0275-x

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  • DOI: https://doi.org/10.1007/s00034-016-0275-x

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