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Exponential stability for time-delay systems with interval time-varying delays and nonlinear perturbations. (English) Zbl 1159.93025

Summary: In this paper, the problem of an exponential stability for time-delay systems with interval time-varying delays and nonlinear perturbations is investigated. Based on the Lyapunov method, a new delay-dependent criterion for exponential stability is established in terms of LMI (linear matrix inequalities). Numerical examples are carried out to support the effectiveness of our results.

MSC:

93D20 Asymptotic stability in control theory
93C73 Perturbations in control/observation systems
93C10 Nonlinear systems in control theory
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C15 Control/observation systems governed by ordinary differential equations
15A39 Linear inequalities of matrices

Software:

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References:

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