Asymmetric Lyapunov–Krasovskii functional method on stability of time‐delay systems
Zhaoliang Sheng, Chong Lin, Bing Chen, Qing‐Guo Wang
Abstract
Abstract This paper presents a new asymmetric Lyapunov–Krasovskii functional method for investigating the asymptotic stability of time‐delay systems. Two resulting delay‐dependent asymptotic stability conditions in the form of linear matrix inequalities are given. The advantages of the new approaches are verified theoretically and numerically.
Topics & Concepts
Control theory (sociology)Stability (learning theory)MathematicsExponential stabilityMatrix (chemical analysis)Applied mathematicsComputer scienceNonlinear systemControl (management)PhysicsMaterials scienceMachine learningArtificial intelligenceComposite materialQuantum mechanicsStability and Control of Uncertain SystemsMatrix Theory and AlgorithmsNeural Networks Stability and Synchronization