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Descripción
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| We geometrically describe optimal control problems in terms of Morse families in the Hamiltonian framework. These geometric structures allow us to recover the classical first order necessary conditions for optimality and the starting point to run an integrability algorithm. Moreover the integrability algorithm is adapted to optimal control problems in such a way that the trajectories originated by discontinuous controls are also obtained. From the Hamiltonian viewpoint we obtain the equations of motion for optimal control problems in the Lagrangian formalism by means of a proper Lagrangian submanifold. Singular optimal control problems and overdetermined ones are also studied in the paper. | |
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Internacional
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Si |
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JCR del ISI
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Si |
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Título de la revista
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Siam Journal on Control And Optimization |
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ISSN
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0363-0129 |
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Factor de impacto JCR
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1,389 |
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Información de impacto
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Datos JCR del año 2013 |
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Volumen
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53 |
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DOI
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10.1137/120903488 |
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Número de revista
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1 |
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Desde la página
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414 |
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Hasta la página
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433 |
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Mes
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SIN MES |
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Ranking
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