IEEE Transactions on Automatic Control · 1994 · 113 citations · 11 references
Natural SciencesMathematicsApplied MathematicsDynamical SystemsStochastic ProcessesControl TheoryExistence TheoremsNumerical StabilityStabilityStability TheoryAsymptotic StabilityDelay EquationsDelay SystemsDelay-induced Stability AnalysisLyapunov StabilityStability Of Delay Differential EquationsTime-delay SystemsTime-delay Systems Control
An improved Razumikhin-type theorem is established, and the advantage of the established theorem for reducing conservatism is discussed. For a class of time-delay systems, a simple asymptotic stability condition is deduced as an application of the established theorem. Two illustrative examples are given to show the superiority of the results to those in the literature.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
11