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This paper presents less conservative LMIs conditions for robust stability analysis and for robust controller design of uncertain discrete-time systems with time-varying delay in the state vector. The uncertainty, supposed to be described in the polytopic framework, affects all matrices of the system. The proposed conditions are convex and delay dependent. The main idea is to apply a well-known parameter...
This paper discusses the problems of robust quadratic stability and robust H∞ control for a class of fuzzy descriptor systems with time-varying delay and parameter uncertainties. Base on the definition which is given by the Weihua Tian et al, according to the theory of Lyapunov, the sufficient conditions, which maintain the stability of the closed-loop and satisfy the H∞-performance are proved. These...
In this paper, the delay-dependent H∞ performance criterion which possesses decoupling structure is derived for systems with time-varying delay. It can reduce conservatism inherent in the classical quadratic method by providing a parameter-dependent Lyapunov function. Then the robust H∞ controller is designed for time-delay systems with polytopic uncertainty. All the conditions are given in terms...
The problem of stochastic robust stability of a class of stochastic neural networks with time-varying delays and parameter uncertainties is investigated in this paper. The parameter uncertainties are time-varying and norm-bounded. The time-delay factors are unknown and time-varying with known bounds. Based on Lyapunov-Krasovskii functional and stochastic analysis approaches, some new stability criteria...
This paper deals with the problem of exponential stability for a class of discrete-time recurrent neural networks with time-varying delay by employing an improved free-weighting matrix approach. The relationship among the time-varying delay, its upper bound and their difference is taken into account. As a result, a new and less conservative delay-dependent stability criterion is obtained without ignoring...
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