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Time optimal control for a nonholonomic system with state constraint

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Publication:1941670
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DOI10.3934/mcrf.2013.3.185zbMath1287.49022OpenAlexW2086511948MaRDI QIDQ1941670

Jérôme Lohéac, Jean-François Scheid

Publication date: 21 March 2013

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2013.3.185


zbMATH Keywords

state constraintscontrollabilityPontryagin's maximum principletime optimal controlnonholonomic integrator


Mathematics Subject Classification ID

Controllability (93B05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) 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) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Nonholonomic dynamical systems (37J60)


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