Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals
Denis Efimov, A. Yu. Aleksandrov
Abstract
Summary This article is devoted to stability analysis of homogeneous time‐delay systems applying the Lyapunov‐Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.
Topics & Concepts
HomogeneousRobustness (evolution)MathematicsControl theory (sociology)Stability (learning theory)Domain (mathematical analysis)Lyapunov functionApplied mathematicsMathematical analysisComputer scienceControl (management)PhysicsNonlinear systemArtificial intelligenceMachine learningQuantum mechanicsCombinatoricsBiochemistryChemistryGeneNeural Networks Stability and SynchronizationStability and Control of Uncertain SystemsStability and Controllability of Differential Equations