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

[摘要] 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.

[学科分类] 应用数学