Robust exponential stability for uncertain time-varying delay systems with delay dependence. (English) Zbl 1192.34086

Summary: This paper investigates the exponential stability problem for uncertain time-varying delay systems. Based on the Lyapunov-Krasovskii functional method, delay-dependent stability criteria have been derived in terms of a matrix inequality (LMI) which can be easily solved using efficient convex optimization algorithms. These results are shown to be less conservative than those reported in the literature. Four numerical examples are proposed to illustrate the effectiveness of our results.


34K20 Stability theory of functional-differential equations
93D09 Robust stability
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