Application of stochastic artsteins theorem to feedback stablization

DOI10.1080/07362990008809675zbMath1001.93087OpenAlexW2067991473MaRDI QIDQ4487013

Patrick Florchinger, Erik I. Verriest

Publication date: 15 December 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990008809675

zbMATH Keywords

nonlinear systemArtstein's theoremasymptotic stabilization in probabilityordinary dynamic feedback

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stochastic stability in control theory (93E15)

Related Items

Lyapunov characterization for the stability of stochastic control systems, Feedback stabilization and adaptive stabilization of stochastic nonlinear systems by the control Lyapunov function

Cites Work

• A universal formula for stabilization with bounded controls
• An extension of Artstein's theorem on stabilization by using ordinary feedback integrators
• A `universal' construction of Artstein's theorem on nonlinear stabilization
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• On the stabilization of interconnected stochastic systems
• Lyapunov-Like Techniques for Stochastic Stability
• A global stabilization theorem for planar nonlinear systems