H_? Filtering For Neutral Systems With Time-Varying Delays And Nonlinear Perturbations

By using the methods of Lyapunov function,Lyapunov Krasovskii stability theory and the convex combination technique,LMI technique,Schur lemma and free weighting matrix matlab toolbox,the problem of H_? filtering and robust stability for uncertain linear neutral systems with mixed time-varying delays and nonlinear perturbations are studied.(1)The background and development of control theory are reviewed,then the neutral systems and research results are introduced.(2)The problem of H_? filtering for uncertain linear neutral systems with mixed time-varying delays and nonlinear perturbations are studied.By selecting a appropriate Lyapunov function and a method for processing uncertainty,a new filter design method based on linear matrix inequality is gave.Finally a numerical example is given to illustrate the effectiveness of the proposed method.(3)The problem of robust stability for uncertain linear neutral systems with mixed time-varying delays and nonlinear perturbations are studied.By selecting the appropriate Lyapunov function free weighting matrix,method for processing uncertainty,a novel delay-dependent robust stability criteria based on linear matrix inequality is gave.Finally a numerical example is given to illustrate the effectiveness of the proposed method.Finally,the article is summarized and the further research direction is pointed out.