2014 · 13 citations · 13 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsControl Of Dynamical SystemsControl TheoryNonlinear ControlStability TheoryDelay SystemsDelay-dependent Stability AnalysisDelay-induced Stability AnalysisExponential StabilityLyapunov FunctionsStabilization Algorithm DesignTime-delay SystemsTime-delay Systems Control
The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, fiite-time, fixed-time and (hyper-)exponential stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is developed. The theoretical results are supported by numerical simulations.
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