Degeneracy and generalized solutions of optimal control problems
Vladimir Gurman (2009)
Control and Cybernetics
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Displaying similar documents to “Pontryagin Maximum Principle for coupled slow and fast systems”
Degeneracy and generalized solutions of optimal control problems
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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Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints
Anton Schiela, Daniel Wachsmuth (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In the article an optimal control problem subject to a stationary variational inequality is investigated. The optimal control problem is complemented with pointwise control constraints. The convergence of a smoothing scheme is analyzed. There, the variational inequality is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal control problem converge to solutions of the original one. Passing to the limit in the optimality system of the regularized...
Geometric control approach to synthesis theory.
Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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A penalty method for deriving necessary conditions in problems of optimal control
Leonard D. Berkovitz (1985)
Banach Center Publications
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Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect
J. L. Gámez, J. A. Montero (1997)
ESAIM: Control, Optimisation and Calculus of Variations
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Linear-quadratic optimization and some general hypotheses on optimal control.
Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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Variational formalism applied to control of autonomous switching systems
M. El Bagdouri, B. Cébron, M. Sechilariu, J. Burger (2004)
Control and Cybernetics
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Optimality and sensitivity for semilinear bang-bang type optimal control problems
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...