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This paper deals with the design of observer based controller for a class of linear time varying delay systems with unknown inputs. We propose to use a completely state observer to reconstruct the state vector for the feedback control purpose. Sufficient and necessary conditions for the existence of such observers based controllers are treated. By using information on asymptotic stability and delay...
In this paper, the asymptotical stability analysis problem of nonlinear neutral systems with mixed time-varying delays is investigated. By using the Lyapunov-Krasovskii type of descriptor functional, including the triple integral inequalities and free weighting matrix technique, a less conservative delay-decomposition stability criterion is formulated. The main contribution of the proposed method...
This paper investigates the asymptotical stability analysis problem for a class of nonlinear neutral systems with mixed time-varying delays. In order to reduce the conservatism, a new delay-dependent asymptotic stability criterion is proposed based on the Lyapunov-Krasovskii functional. Finally, a numerical simulation is presented to illustrate the effectiveness of the proposed approach using the...
In this paper, we consider the problem of delay dependent stability of neutral system with time varying delays. By using an augmented Lyapunov functional, a new delay dependent sufficient stability criterion is obtained in terms of Linear Matrix Inequalities LMIs. The proposed approach involves neither free weighting matrices, nor any model transformation, and it is shown that these criteria can provide...
This paper focuses on the problem of robust exponential stabilization for uncertain systems with time varying delays. Based on Lyapunov parameter dependent functional, a linear memoryless state-derivate feedback controller is synthesized to guarantee the exponential convergence. Hence, the allowable upper bound of time delay system can be estimated with respect to the delay decay rate. The novel delay...
This paper deals with the exponential stability analysis problem of neutral systems with mixed time delays and nonlinear perturbations. Using the Lyapunov theory and the free weighing matrices method, a delay decomposition approach is developed by introducing a new quadratic Lyapunov Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple equal length subintervals...
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