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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.
93D09Robust stability of control systems
93C73Perturbations in control systems
93C10Nonlinear control systems