The maximum Principle of optimal control: A history of ingenious ideas and missed opportunities
Hans Pesch, Michael Plail (2009)
Control and Cybernetics
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Hans Pesch, Michael Plail (2009)
Control and Cybernetics
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Hélène Frankowska (2009)
Control and Cybernetics
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Ursula Felgenhauer (2004)
International Journal of Applied Mathematics and Computer Science
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In optimal control problems with quadratic terminal cost functionals and systems dynamics linear with respect to control, the solution often has a bang-bang character. Our aim is to investigate structural solution stability when the problem data are subject to perturbations. Throughout the paper, we assume that the problem has a (possibly local) optimum such that the control is piecewise constant and almost everywhere takes extremal values. The points of discontinuity are the switching...
Leonard D. Berkovitz (1985)
Banach Center Publications
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Maria do Rosário de Pinho, Maria Margarida Ferreira, Fernando Fontes (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Necessary conditions of optimality in the form of Unmaximized Inclusions (UI) are derived for optimal control problems with state constraints. The conditions presented here generalize earlier optimality conditions to problems that may be nonconvex. The derivation of UI-type conditions in the absence of the convexity assumption is of particular importance when deriving necessary conditions for constrained problems. We illustrate this feature by establishing, as an application, optimality...
Ursula Felgenhauer (2005)
Control and Cybernetics
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V. Blagodatskih (1976)
Banach Center Publications
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A. Ioffe (2005)
Control and Cybernetics
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