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An Integral Method of Liapunov Function Generation for Nonlinear Autonomous Systems
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1965
Year
Stability AnalysisLiapunov Function GenerationIntegral MethodNonlinear ControlEngineeringRobust ControlMathematical Control TheoryMechanical SystemsSystem StabilitySystems EngineeringNonlinear Autonomous SystemsAsymptotic StabilityBifurcation TheoryHigher OrderLyapunov AnalysisLiapunov FunctionsStability
A method is developed for generating Liapunov functions with which to determine the domain of asymptotic stability for nonlinear autonomous systems of any order, so long as these systems may be represented in phase variable form. The method is illustrated by several examples of higher order.