Optimal control of systems possessing symmetries

DOI10.1109/TAC.1984.1103421zbMath0552.93041OpenAlexW2047942475MaRDI QIDQ3346176

Jessy W. Grizzle, Steven I. Marcus

Publication date: 1984

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1984.1103421

zbMATH Keywords

symmetrydecompositionoptimal feedback control law

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Synthesis problems (93B50) Controllability, observability, and system structure (93B99)

Related Items (9)

Symmetric systems: structure of the state space ⋮ Conservation laws in hamiitonian control systems under unmodelled dynamics ⋮ A different look at the optimal control of the Brockett integrator ⋮ Optimal Control Problems with Symmetry Breaking Cost Functions ⋮ On symmetries in time optimal control, sub-Riemannian geometries, and the \(K-P\) problem ⋮ Symmetry reduction for dynamic programming ⋮ General symmetries in optimal control ⋮ Noether's theorem of nonholonomic systems in optimal control ⋮ Normalized coprime factorizations for linear time-varying systems

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