Inverse optimal control and construction of control Lyapunov functions

DOI10.1007/s10958-009-9553-5zbMath1190.93075OpenAlexW2081494391MaRDI QIDQ844446

Aref Shahmansoorian

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9553-5

zbMATH Keywords

nonlinear systemscontrol Lyapunov functions (CLF)inverse optimal control lawSontag's formula

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
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• Integrator forwarding: A new recursive nonlinear robust design
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• A new stabilizing control law with respect to a control Lyapunov function and construction of control Lyapunov function for particular nonaffine nonlinear systems
• Stabilization with relaxed controls
• Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
• A Smooth Converse Lyapunov Theorem for Robust Stability
• Inverse Optimality in Robust Stabilization