Robust stability of linear time-delay systems

Research on robust asymptotically stable Linear Time-delay Systems is the better actively field for the cortrol field. by means of a new express for Linear Time-delay Systems based on the structure analysis and the information search for systems. through the self symmetrical positive definite solves of Lyapunov equation for the systems, by using of amplyfying matrix inequality method for a given Linear Time-delay Systems and Robust Linear Time-delay Systems, the sufficient conditions for the systems is obtained. At last, the example test shows the validity, and that the proposed. theorem condition is easy expressed and easy tested because of the less parameters.