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

Xia Zhou | Zendy; Shouming Zhong | Zendy

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

Author(s) -

Xia Zhou,

Shouming Zhong

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/586095

Subject(s) - bibo stability , mathematics , matlab , control theory (sociology) , linear matrix inequality , matrix (chemical analysis) , nonlinear system , transformation (genetics) , mean square , decomposition , coefficient matrix , mathematical optimization , computer science , control (management) , eigenvalues and eigenvectors , physics , ecology , biochemistry , chemistry , materials science , quantum mechanics , artificial intelligence , biology , composite material , gene , operating system

The mean square BIBO stabilization is investigated for the stochasticcontrol systems with time delays and nonlinear perturbations. A class of suitable Lyapunovfunctional is constructed, combined with the descriptor model transformation and the decompositiontechnique of coefficient matrix; thus some novel delay-dependent mean square BIBOstabilization conditions are derived. These conditions are expressed in the forms of linear matrixinequalities (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 effectiveand much less conservative than those given in the literature

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