Extremal controls for chained systems

DOI10.1007/BF02254700zbMath0947.49015MaRDI QIDQ1972725

Yanyan Li

Publication date: 13 April 2000

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

zbMATH Keywords

optimal controltime-optimal controlswitchingquadratic functionalfirst-order optimality conditionPontryagin maximum principlechained systemsbang-bang extremalsJacobi-type second-order optimality conditions

Mathematics Subject Classification ID

Geometric methods (93B27) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

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• Bifurcation of extremals in optimal control
• Higher order necessary conditions in optimal control theory
• Sufficient optimality conditions for Pontryagin extremals
• Strong minimality of abnormal geodesics for \(2\)-distributions
• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Nonholonomic motion planning: steering using sinusoids

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