Optimal campaign in the smoking dynamics.
Zaman, Gul (2011)
Computational & Mathematical Methods in Medicine
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Zaman, Gul (2011)
Computational & Mathematical Methods in Medicine
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Bounkhel, Messaoud, Tadj, Lotfi (2006)
Applied Mathematics E-Notes [electronic only]
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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Pavol Brunovský, John J. Mallet-Paret (1985)
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Xing, An-Qing (1991)
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V.R. Barseghyan (2012)
The Yugoslav Journal of Operations Research
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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. ...
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...