Stability analysis for time-varying nonlinear systems
Nizar Hadj Taieb
Abstract
This paper is concerned with practical asymptotic and exponential stability analysis of time-varying nonlinear systems. With the help of the new notion of practical stable functions, some differential Lyapunov inequalities based necessary and sufficient conditions are derived for testing global uniform practical asymptotic stability and practical exponential stability of general time-varying nonlinear systems. Therefore, we generalised some works which are already made in the literature. Furthermore, some illustrative examples are presented.
Topics & Concepts
Exponential stabilityNonlinear systemMathematicsStability (learning theory)Lyapunov functionApplied mathematicsExponential functionControl theory (sociology)Mathematical analysisComputer scienceControl (management)PhysicsMachine learningQuantum mechanicsArtificial intelligenceAdaptive Control of Nonlinear SystemsGuidance and Control SystemsStability and Control of Uncertain Systems