Uniqueness of optimal trajectories for non-linear control systems
A. Pliś (1975)
Annales Polonici Mathematici
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Displaying similar documents to “Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect”
Uniqueness of optimal trajectories for non-linear control systems
Existence of optimal nonanticipating controls in piecewise deterministic control problems
Atle Seierstad (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimal nonanticipating controls are shown to exist in nonautonomous piecewise deterministic control problems with hard terminal restrictions. The assumptions needed are completely analogous to those needed to obtain optimal controls in deterministic control problems. The proof is based on well-known results on existence of deterministic optimal controls.
Uniqueness of the optimal control for a Lokta-Volterra control problem with a large crowding effect
J. L. Gamez, J. A. Montero (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.
Some Applications of Optimal Control Theory of Distributed Systems
Alfredo Bermudez (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we present some applications of the J.-L. Lions' optimal control theory to real life problems in engineering and environmental sciences. More precisely, we deal with the following three problems: sterilization of canned foods, optimal management of waste-water treatment plants and noise control
Switchings of optimal controls and the equation ,
Pavol Brunovský, John J. Mallet-Paret (1985)
Časopis pro pěstování matematiky
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On the time optimal control in the case of non-uniqueness
K. Malanowski (1966)
Studia Mathematica
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Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications
Noriaki Yamazaki (2009)
Banach Center Publications
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In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results. ...