Switchings of optimal controls and the equation $y^{(4)}+\vert y\vert ^{\alpha }\,sign\,y=0$, $0<\alpha <1$

Pavol Brunovský; John J. Mallet-Paret

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Displaying similar documents to “Switchings of optimal controls and the equation $y^{(4)} + {| y |}^{α} s i g n y = 0$ , $0 < α < 1$ ”

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.

The existence of optimal solutions for infinite horizon optimal control problems

Dean A. Carlson (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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The existence of optimal solutions for infinite horizon optimal control problems

Dean A. Carlson (1984)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Uniqueness of optimal trajectories for non-linear control systems

A. Pliś (1975)

Annales Polonici Mathematici

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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

Regularity along optimal trajectories of the value function of a Mayer problem

Carlo Sinestrari (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider an optimal control problem of Mayer type and prove that, under suitable conditions on the system, the value function is differentiable along optimal trajectories, except possibly at the endpoints. We provide counterexamples to show that this property may fail to hold if some of our conditions are violated. We then apply our regularity result to derive optimality conditions for the trajectories of the system.

An existence theorem for a class of optimal problems with delayed argument.

Tadumadze, T., Gelashvili, K. (2000)

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The non-parameter penalty function method in constrained optimal control problems.

Xing, An-Qing (1991)

Journal of Applied Mathematics and Stochastic Analysis

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Optimal control of deteriorating production inventory systems.

Bounkhel, Messaoud, Tadj, Lotfi (2005)

APPS. Applied Sciences

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Displaying similar documents to “Switchings of optimal controls and the equation y ( 4 ) + | y | α s i g n y = 0 , 0 < α < 1 ”

Displaying similar documents to “Switchings of optimal controls and the equation $y^{(4)} + {| y |}^{α} s i g n y = 0$ , $0 < α < 1$ ”