Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems

DOI10.1016/j.automatica.2006.05.020zbMath1114.93045arXivmath/0601658OpenAlexW2067165991MaRDI QIDQ880337

Marcio S. De Queiroz, Frederic Mazenc, Michael Malisoff

Publication date: 15 May 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601658

zbMATH Keywords

time-varying systemsinput-to-state stabilityLyapunov function constructions

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

Further results on Lyapunov functions for slowly time-varying systems ⋮ High‐order control barrier functions‐based optimization control for time‐varying nonlinear systems with full‐state constraints: A dynamic sub‐safe set approach ⋮ Decentralized stabilization of large-scale feedforward systems using saturated delayed controls ⋮ A sufficient condition for asymptotic stability for a class of time-varying parameterized systems ⋮ On Lyapunov stability of interconnected nonlinear systems: recursive integration methodology ⋮ Further results on input-to-state stability for nonlinear systems with delayed feedbacks

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• A characterization of integral input-to-state stability
• Backstepping with Bounded Feedbacks for Time-Varying Systems
• Smooth stabilization implies coprime factorization
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