Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions

DOI10.1016/j.automatica.2016.01.066zbMath1334.93156OpenAlexW2274301390WikidataQ59621398 ScholiaQ59621398MaRDI QIDQ273945

Michael Malisoff, Krstić, Miroslav

Publication date: 22 April 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.01.066

zbMATH Keywords

input-to-state stabilitystrict Lyapunov functions

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• Stabilization and robustness analysis for a chain of exponential integrators using strict Lyapunov functions
• Constructions of strict Lyapunov functions
• Delay compensation for nonlinear, adaptive, and PDE systems
• Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
• Further facts about input to state stabilization
• Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
• Stabilization of Nonlinear Delay Systems: A Tutorial on Recent Results
• Backstepping with Bounded Feedbacks for Time-Varying Systems
• A Simplified Design for Strict Lyapunov Functions Under Matrosov Conditions
• Strict Lyapunov Function Constructions Under LaSalle Conditions With an Application to Lotka-Volterra Systems
• Further Constructions of Control-Lyapunov Functions and Stabilizing Feedbacks for Systems Satisfying the Jurdjevic–Quinn Conditions
• On the stability of motion