Analytical Parameterization of Rotors and Proof of a Goldberg Conjecture by Optimal Control Theory

DOI10.1137/070705325zbMath1176.49044OpenAlexW4301482475WikidataQ123200699 ScholiaQ123200699MaRDI QIDQ3648553

Térence Bayen

Publication date: 27 November 2009

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

Full work available at URL: https://doi.org/10.1137/070705325

zbMATH Keywords

optimal controlconvexitybang-bang controlshape optimizationNoether theoremPontryagin's maximum principlerotorssupport functionswitching pointconstant width bodies

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimization of shapes other than minimal surfaces (49Q10) Optimization problems in thermodynamics and heat transfer (80M50) Optimality conditions for problems involving ordinary differential equations (49K15) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (5)

A reverse isoperimetric inequality for planar (α, β)-convex bodies ⋮ Semidefinite programming for optimizing convex bodies under width constraints ⋮ A generalization of the Blaschke-Lebesgue problem to a kind of convex domains ⋮ The second Euler-Lagrange equation of variational calculus on time scales ⋮ Numerical shape optimization among convex sets

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