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Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays

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  • Xia Zhou
  • Shouming Zhong

Abstract

The mean square BIBO stabilization is investigated for the stochastic control systems with time delays and nonlinear perturbations. A class of suitable Lyapunov functional is constructed, combined with the descriptor model transformation and the decomposition technique of coefficient matrix; thus some novel delay-dependent mean square BIBO stabilization conditions are derived. These conditions are expressed in the forms of linear matrix inequalities (LMIs), whose feasibility can be easily checked by using Matlab LMI Toolbox. Finally, three numerical examples are given to demonstrate that the derived conditions are effective and much less conservative than those given in the literature.

Suggested Citation

  • Xia Zhou & Shouming Zhong, 2013. "Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, December.
    • Handle: RePEc:hin:jnljam:586095
    DOI: 10.1155/2013/586095
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