Sub-Finslerian Metric Associated to an Optimal Control System

DOI10.1137/S0363012999357562zbMath0972.49001MaRDI QIDQ4507479

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Publication date: 18 October 2000

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

Finsler metricsoptimal control for ordinary differential equations

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items (13)

A numerical algorithm for singular optimal LQ control systems ⋮ Sub-Lagrangians and sub-Hamiltonians on affine bundles ⋮ Sub-Finsler geometry in dimension three ⋮ The consistency problem in optimal control: the degenerate case. ⋮ Finsler geometry without line elements faced to applications. ⋮ Unnamed Item ⋮ Infinitesimal time reparametrisation and its applications ⋮ Presymplectic high order maximum principle ⋮ Reduction in optimal control theory ⋮ Sub-Finsler geodesics on the Cartan group ⋮ Time-optimal solutions of parallel navigation and Finsler geodesics ⋮ VARIATIONAL CALCULUS, SYMMETRIES AND REDUCTION ⋮ CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS

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