Optimal control and geodesic flows

DOI10.1016/0167-6911(96)00008-4zbMath0877.93029OpenAlexW1974771308WikidataQ127774077 ScholiaQ127774077MaRDI QIDQ671343

Peter E. Crouch, Anthony M. Bloch

Publication date: 27 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(96)00008-4

zbMATH Keywords

optimal controlrigid body dynamicsgeodesic equationsbilinear systemsGrassmanniandouble bracket equationshamiltonian dynamics

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Miscellaneous topics in calculus of variations and optimal control (49N99)

Related Items (10)

Bifurcations of the conjugate locus ⋮ A technique for improving the computation of functions of triangular matrices ⋮ The symmetric representation of the generalized rigid body equations and symplectic reduction ⋮ Clebsch variational principles in field theories and singular solutions of covariant EPDiff equations ⋮ Euler's fluid equations: Optimal control vs optimization ⋮ The conjugate locus in convex 3-manifolds ⋮ Solving quantum optimal control problems using Clebsch variables and Lin constraints ⋮ Invariant higher-order variational problems ⋮ Invariant higher-order variational problems. II ⋮ The Moser-Veselov equation

Cites Work

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• Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials
• A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra
• Completely integrable gradient flows
• Double bracket equations and geodesic flows on symmetric spaces
• Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems
• Explicitly solvable non-linear optimal control problems
• Integrable geodesic flows on homogeneous spaces
• Lie Theory and Control Systems Defined on Spheres

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