Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems

DOI10.1023/A:1022159318457zbMath1019.49002arXivmath/0205017MaRDI QIDQ1812051

Monique Chyba, Naomi Ehrich Leonard, Eduardo D. Sontag

Publication date: 18 June 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205017

zbMATH Keywords

maximum principletime-optimal controlsingular extremalscontrolled mechanical systems

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

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Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body ⋮ Optimal spiral-like solutions near a singular extremal in a two-input control problem ⋮ Necessary conditions for a class of optimal multiprocess with state constraints ⋮ Symmetry reduction and control of the dynamics of a 2D rigid circular cylinder and a point vortex: vortex capture and scattering ⋮ Controlling a Submerged Rigid Body: A Geometric Analysis ⋮ Geometric approach to Pontryagin's maximum principle

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