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A new augmented Lyapunov-Krasovskii functional approach for stability of linear systems with time-varying delays. (English) Zbl 1219.93106

Summary: This paper proposes improved delay-dependent conditions for asymptotic stability of linear systems with time-varying delays. The proposed method employs a suitable Lyapunov-Krasovskii’s functional for a new augmented system. Based on Lyapunov method, delay-dependent stability criteria for the systems are established in terms of linear matrix inequalities which can be easily solved by various optimization algorithms. Three numerical examples are included to show that the proposed method is effective and can provide less conservative results.

MSC:

93D20 Asymptotic stability in control theory
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations

Software:

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References:

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