Hybrid feedback stabilization of quasilinear systems in the plane

DOI10.1016/j.jmaa.2004.12.004zbMath1141.93049OpenAlexW2051402608MaRDI QIDQ1771405

E. Litsyn, Arcady Ponosov, Yu. V. Nepomnyashchikh

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.004

zbMATH Keywords

hybrid feedback controlquasilinear dynamical systemsupper Lyapunov exponents

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Mathematical controllability theory of capital growth of nations
• Qualitative theory of hybrid dynamical systems.
• Classification of linear dynamical systems in the plane in admitting a stabilizing hybrid feedback control
• Stabilization of Linear Differential Systems via Hybrid Feedback Controls
• Hybrid dynamical systems vs. ordinary differential equations: Examples of a "pathological" behavior
• Basic problems in stability and design of switched systems
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