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This note deals with the absolute stability of Lur'e control systems with time-varying delay. An augmented Lyapunov functional is introduced to establish some new stability criteria. First, for the nominal system, we develop some new stability conditions, by considering the additional useful terms and introducing some free-weighting matrices. In the proof of our results, we introduce some useful lemmas...
This note deals with the delay-dependent stability and stabilization of linear system with state and input delays. Firstly, for the nominal system, by introducing the augmented Lyapunov functional and some free-weighting matrices, new delay-dependent stability and stabilization criteria of the system are presented. Then, these new conditions are extended to handle norm-bounded uncertain systems with...
The delay-dependent H-infinity control problem for linear descriptor systems with state delay is considered. A delay-dependent condition for the existence of H-infinity memorial state feedback controller is presented in terms of matrix inequality such that the resulting closed-loop system is asymptotically stable and guarantees H-infinity performance index, and this condition fits the general descriptor...
In this paper, we consider the problems of robust stability and stabilization of Lurpsilae control systems with time-varying delay. Firstly, by making use of an integral inequality, some delay-dependent robust stability conditions of the system are presented. Then, a sufficient stabilization criterion is established in the terms of linear matrix inequality (LMI), based on the above stability condition...
This paper is devoted to robust stability analysis of linear continuous-time systems with time-delay that are composed of polytopic uncertain subsystems. A new delay-dependent analyzing approach is proposed to reduce the conservativeness in stability analysis for such systems. The stability condition of delay-dependent given in terms of bilinear matrix inequalities (BMI) is developed for the systems...
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