Abstract:

In order to deal with the stibility,a class of sability control problem for uncertain time\|varying delay systems with state delay is investigated.By materializing the uncertained structural informations,we construct a newly simpler LK(Lyapunov-Krasovskii) functionals for SPSs（Singularly Perturbed Systems） with time-varying delays, the new robust stability  criterias are derived by constructing appropriate L-K functional based LMIs(Linear Matrix Inequalities) method. Which theorems deduced possess universality. The proposed methods do not depend on the system decomposition and therefore can be applied to both standard and nonstandard SPSs with time-delays. 

Key words: uncertain time-delay systems, lyapunov funtional, linear matrix inequalities(LMIs)method, robust control