On optimal control of norm-invariant systems

DOI10.1080/00207178208922608zbMath0473.49007OpenAlexW2115397660MaRDI QIDQ3927754

E. P. Ryan

Publication date: 1982

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178208922608

zbMATH Keywords

switching hyperplanescontrolled Euler equationscontrol constrained to a hyperrectanglecontrol constrained to a hyperspherecontrolled harmonic oscillatoroptimal control of norm-invariant systemstime-optimal regulator

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Free motion of a rigid body (70E15) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Cites Work

• Time-optimal stabilization of a perturbed system with invariant norm
• Discontinuous differential equations. I
• The Closed-Loop Time-Optimal Control. I: Optimality

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