Practical partial stability of time-varying systems
Abdelfettah Hamzaoui, Nizar Hadj Taieb, Mohamed Hammami
Abstract
<p style='text-indent:20px;'>In this paper we investigate the practical asymptotic and exponential partial stability of time-varying nonlinear systems. We derive some sufficient conditions that guarantee practical partial stability of perturbed systems using Lyapunov's theory where a converse theorem is presented. Therefore, we generalize some works which are already made in the literature. Furthermore, we present some illustrative examples to verify the effectiveness of the proposed methods.</p>
Topics & Concepts
ConverseExponential stabilityStability (learning theory)Nonlinear systemApplied mathematicsExtension (predicate logic)MathematicsControl theory (sociology)Computer scienceCalculus (dental)Artificial intelligencePhysicsGeometryControl (management)Machine learningDentistryMedicineProgramming languageQuantum mechanicsAdaptive Control of Nonlinear SystemsStability and Control of Uncertain SystemsStability and Controllability of Differential Equations