Necessary and sufficient conditions for uniform semiglobal practical asymptotic stability: application to cascaded systems

DOI10.1016/j.automatica.2006.05.028zbMath1114.93084OpenAlexW1966952377MaRDI QIDQ880382

Antoine Chaillet, Antonio Loría

Publication date: 15 May 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.05.028

zbMATH Keywords

robustness analysisLyapunov stabilitycascadesconverse Lyapunov functionsemiglobal and practical stability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Gronwall-Bellman type integral inequalities and applications to global uniform asymptotic stability, On The Practical Stabilization of Dynamical Systems With Application, Nonsmooth stabilization of a class of nonlinear cascaded systems, A new Lyapunov function for stability of time-varying nonlinear perturbed systems, Practical stability of nonlinear time-varying cascade systems, Asymptotic behaviors of solutions of a class of time-varying differential equations, Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications, On the global uniform asymptotic stability of time-varying systems, Uniform global practical asymptotic stability for time-varying cascaded systems

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