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

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  • 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, Hindawi, vol. 2013, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:916357
    DOI: 10.1155/2013/916357
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