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This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones....
The paper investigates the problem of robust stability analysis and robust stabilization via memoryless state feedback for uncertain difference switched systems with multiple state delays. Based on the Lyapunov-Krasovskii functional theory, delay-dependent sufficient Linear Matrix Inequalities (LMIs) conditions are established for the stability and stabilization of the considered system using some...
This paper presents a new result of stability analysis for uncertain continuous systems. The continuous systems are based on a new time-delay model proposed recently, which contains multiple successive delay components in the state. A less conservative stability criterion is established for systems with two successive delay components and parameter uncertainties, by constructing a new Lyapunov-Krasovskii...
The delay-dependent robust Hinfin control problem for a class of nonlinear time-delay system is investigated in this paper. An uncertain Takagi-Sugeno (T-S) fuzzy model is adopted for representing a nonlinear system with time-varying delay, in which the modeling errors are absorbed in the uncertain part. The design method of delay-dependent robust Hinfin controller is firstly established via the...
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