Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability

DOI10.4067/S0719-06462015000300004zbMath1331.26036MaRDI QIDQ3467143

M. Hammi, Mohamed Ali Hammami

Publication date: 26 January 2016

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

stabilityGronwall-Bellman inequalityperturbed systems

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Differential inequalities involving functions of a single real variable (34A40) Other analytical inequalities (26D20) Stabilization of solutions to ordinary differential equations (34H15)

Related Items (13)

Unnamed Item ⋮ A converse theorem on practical \(h\)-stability of nonlinear systems ⋮ New results on the uniform exponential stability of nonautonomous perturbed dynamical systems ⋮ Model‐based event‐triggered control of singularly perturbed system with dual event‐triggering mechanism ⋮ Stabilization by an estimated state controller of nonlinear time-varying systems ⋮ Asymptotic behaviors of solutions of a class of time-varying differential equations ⋮ Observers based control for stabilization of non-autonomous evolution equations in Banach spaces ⋮ Unnamed Item ⋮ Practical $h$-stability behavior of time-varying nonlinear systems ⋮ On the global uniform stability analysis of non-autonomous dynamical systems: A survey ⋮ Practical semiglobal uniform exponential stability of nonlinear nonautonomous systems ⋮ On uniform \(h\)-stability of non-autonomous evolution equations in Banach spaces ⋮ Finite-time stabilization of switched nonlinear singular systems with asynchronous switching

Cites Work

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• Practical stability of nonlinear time-varying cascade systems
• Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability: application to cascaded systems
• A new Lyapunov function for stability of time-varying nonlinear perturbed systems
• On global uniform asymptotic stability of nonlinear time-varying systems in cascade
• Guarenteed rates of exponential convergence for uncertain systems
• On the stability of nonlinear control systems with uncertainty
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems

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