An improved delay-dependent criterion for asymptotic stability of uncertain dynamic systems with time-varying delays. (English) Zbl 1201.93107

Summary: The problem of stability analysis for uncertain dynamic systems with time-varying delays is considered. The parametric uncertainties are assumed to be bounded in magnitude. Based on Lyapunov’s stability theory, a new delay-dependent stability criterion for the system is established in terms of linear matrix inequalities, which can be solved easily by various efficient convex optimization algorithms. Two numerical examples are illustrated to show the effectiveness of the proposed method.


93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
34H05 Control problems involving ordinary differential equations
90C25 Convex programming
Full Text: DOI


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