Delay-Dependent Robust Control of Descriptor Systems With Time Delay

Abstract

This paper deals with the problem of stability and robust control for both certain and uncertain continuous-time singular systems with state delay. Systems with norm-bounded parameter uncertainties are considered. Robust delay-dependent stability criteria and linear memoryless state feedback controllers based on linear matrix inequality are obtained. By choosing some Lyapunov-Krasovskii functionals, neither model transformation nor bounding for cross terms is required in the derivation of our delay-dependent results. Finally, numerical example is provided to illustrate the effectiveness of the proposed method.

Delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays

“…To compare the obtained robust stability results with those existing results, we give the maximum allowed delayd for various parameter λ in Table 2. It is clear that the result in this paper gives better results than the results of [9,16,17], and the same or better results than [11,12]. …”

Delay Dependent Robust Stability of Singular Systems with Additive Time-varying Delays

“…Table 2 gives the comparison of the maximum allowed delayh for various values of the parameter α. It is clear that the conditions in this paper give better results than those in [14,16,33,36], showing the advantage of the stability result in this paper.…”

Delay-dependent robust and non-fragile guaranteed cost control for uncertain singular systems with time-varying state and input delays

“…It is clear that the presented condition of this paper gives better results than those in [15][16][17].…”

“…Recently, delay-dependent robust stabilization for singular systems with state delay has been considered [15][16][17]. Especially, Wu and Zhou [17] dealt with the problem of delay-dependent robust stabilization for uncertain singular systems with state delay.…”