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BIBO Stabilization of Discrete‐Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations

Author

Listed:
  • Xia Zhou
  • Yong Ren
  • Shouming Zhong

Abstract

The problem of bounded‐input bounded‐output (BIBO) stabilization in mean square for a class of discrete‐time stochastic control systems with mixed time‐varying delays and nonlinear perturbations is investigated. Some novel delay‐dependent stability conditions for the previously mentioned system are established by constructing a novel Lyapunov‐Krasovskii function. These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using MATLAB LMI Toolbox. Finally, a numerical example is given to illustrate the validity of the obtained results.

Suggested Citation

  • Xia Zhou & Yong Ren & Shouming Zhong, 2013. "BIBO Stabilization of Discrete‐Time Stochastic Control Systems with Mixed Delays and Nonlinear Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:916357
    DOI: 10.1155/2013/916357
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    References listed on IDEAS

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    1. Xiong, Lianglin & Zhong, Shouming & Tian, Junkang, 2009. "Novel robust stability criteria of uncertain neutral systems with discrete and distributed delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 771-777.
    2. Zixin Liu & Shu Lü & Shouming Zhong & Mao Ye, 2009. "Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    3. Zixin Liu & Shu Lü & Shouming Zhong & Mao Ye, 2009. "Improved Robust Stability Criteria of Uncertain Neutral Systems with Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-18, November.
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    Cited by:

    1. Liang Liu & Zhandong Yu & Qi Zhou & Hamid Reza Karimi, 2013. "State‐Feedback Stabilization for a Class of Stochastic Feedforward Nonlinear Time‐Delay Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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