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Robust stability criteria for systems with interval time-varying delay and nonlinear perturbations. (English) Zbl 1185.93111
Summary: This paper considers the robust stability for a class of linear systems with interval time-varying delay and nonlinear perturbations. A Lyapunov-Krasovskii functional, which takes the range information of the time-varying delay into account, is proposed to analyze the stability. A new approach is introduced for estimating the upper bound on the time derivative of the Lyapunov-Krasovskii functional. On the basis of the estimation and by utilizing free-weighting matrices, new delay-range-dependent stability criteria are established in terms of linear matrix inequalities. Numerical examples are given to show the effectiveness of the proposed approach.

##### MSC:
 93D09 Robust stability of control systems 93C73 Perturbations in control systems 93C10 Nonlinear control systems
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##### References:
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