Skinner-Rusk formalism for optimal control
In 1983, the dynamics of a mechanical system was represented by a first-order system on a suitable phase space by R. Skinner and R. Rusk. The corresponding unified formalism developed for optimal control systems allows us to formulate geometrically the necessary conditions given by Pontryagin's...
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/627 |
| Acceso en línea: | https://hdl.handle.net/2117/627 |
| Access Level: | acceso abierto |
| Palabra clave: | Lagrangian and Hamiltonian formalisms Optimal control Classificació AMS::49 Calculus of variations and optimal control optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-xx]::49J Existence theories Classificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10 for statistical mechanics, see 82-xx}::70H Hamiltonian and Lagrangian mechanics [See also 37Jxx] Classificació AMS::65 Numerical analysis::65L Ordinary differential equations |
| Sumario: | In 1983, the dynamics of a mechanical system was represented by a first-order system on a suitable phase space by R. Skinner and R. Rusk. The corresponding unified formalism developed for optimal control systems allows us to formulate geometrically the necessary conditions given by Pontryagin's Maximum Principle, as long as the differentiability with respect to controls is assumed. |
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