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This paper considers guaranteed cost control problem for systems with saturating actuators and input delays. By using Razumikhin stability theorem, a linear state feedback control law is found, ensuring not only the closed-loop system's stability but guaranteed cost index. And the problem of designing the optimal guaranteed cost controller is converted to a convex optimization problem within the framework...
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...
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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