LaSalle-Yoshizawa theorem for nonlinear systems with external inputs: a counter-example

DOI10.1016/J.AUTOMATICA.2022.110636zbMath1505.93217OpenAlexW4300960783WikidataQ115221245 ScholiaQ115221245MaRDI QIDQ2103624

Zhi-yong Chen

Publication date: 9 December 2022

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110636

zbMATH Keywords

nonlinear systemsinput-to-state stabilityLyapunov stability theoremLaSalle-Yoshizawa theorem

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Input-output approaches in control theory (93D25)

Cites Work

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• On characterizations of the input-to-state stability property
• Input-to-state stability of switched systems and switching adaptive control
• Adaptive nonlinear control without overparametrization
• Input-to-state stability of PD-controlled robotic systems
• Stability theory for ordinary differential equations
• Lyapunov conditions for uniform asymptotic output stability and a relaxation of Barbălat's lemma
• Lyapunov Characterizations of Input to Output Stability

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