Stability rates for patchy vector fields

DOI10.1051/cocv:2004003zbMath1083.34037arXivmath/0111109OpenAlexW2002155211WikidataQ59264052 ScholiaQ59264052MaRDI QIDQ5465545

Alberto Bressan, Fabio Ancona

Publication date: 9 August 2005

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111109

zbMATH Keywords

impulsive perturbationpatchy vector field

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Ordinary differential equations with impulses (34A37) Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (5)

Nonpathological Lyapunov functions and discontinuous Carathéodory systems ⋮ Discontinuous stabilization of nonlinear systems: quantized and switching controls ⋮ Small-Time Stabilization of Homogeneous Cascaded Systems with Application to the Unicycle and the Slider Examples ⋮ Closed loop stabilization of planar bilinear switched systems ⋮ Nearly time optimal stabilizing patchy feedbacks

Cites Work

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• Existence of Lipschitz and Semiconcave Control-Lyapunov Functions
• Patchy Vector Fields and Asymptotic Stabilization
• Asymptotic controllability implies feedback stabilization
• Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization
• Feedback Stabilization and Lyapunov Functions
• Semiconcave Control-Lyapunov Functions and Stabilizing Feedbacks

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