Gauge symmetries and Noether currents in optimal control.
Torres, Delfim F. M. (2003)
Applied Mathematics E-Notes [electronic only]
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Torres, Delfim F. M. (2003)
Applied Mathematics E-Notes [electronic only]
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Torres, Delfim F. Marado
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Park, Jong Yeoul, Kang, Yong Han (2001)
International Journal of Mathematics and Mathematical Sciences
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Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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François Chaplais, Nicolas Petit (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration. ...
Janković, Vladimir (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Vladimir Krastev (2013)
Open Mathematics
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We consider a class of age-structured control problems with nonlocal dynamics and boundary conditions. For these problems we suggest Arrow-type sufficient conditions for optimality of problems defined on finite as well as infinite time intervals. We examine some models as illustrations (optimal education and optimal offence control problems).
Paulo Gouveia, Delfim Torres, Eugénio Rocha (2006)
Control and Cybernetics
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