An extension of Artstein's theorem on stabilization by using ordinary feedback integrators

DOI10.1016/0167-6911(93)90026-3zbMath0782.93080OpenAlexW2051101370MaRDI QIDQ1801659

John Tsinias

Publication date: 17 August 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90026-3

zbMATH Keywords

feedback integratorglobally state asymptotically stabilizable system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Triangular systems: A global extension of the Coron-Praly theorem on the existence of feedback-integrator stabilisers ⋮ Input-to-output stability for systems described by retarded functional differential equations ⋮ On the existence of nonsmooth control-Lyapunov functions in the sense of generalized gradients ⋮ On the stabilization of interconnected stochastic systems ⋮ Partial-state global stabilization for general triangular systems ⋮ A local stabilization theorem for interconnected systems ⋮ Applications of non-uniform in time robust global asymptotic output stability to robust partial state feedback stabilization ⋮ Application of stochastic artsteins theorem to feedback stablization ⋮ Sampled-data feedback practical semi-global controllability and stabilization for time-varying systems

Cites Work

• A universal formula for stabilization with bounded controls
• Stabilization of nonlinear systems in the plane
• Adding an integrator for the stabilization problem
• A local stabilization theorem for interconnected systems
• Sufficient Lyapunov-like conditions for stabilization
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• Stabilization with relaxed controls
• Asymptotic Stabilization of a Class of Smooth Two-Dimensional Systems
• Stabilizability of Discrete-Time Nonlinear Systems
• Smoothly Global Stabilizability by Dynamic Feedback and Generalizations of Artstein’s Theorem
• A global stabilization theorem for planar nonlinear systems
• Output feedback stabilization

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