LQ-optimal control with stabilization constraints
J. L. Willems (1985)
Banach Center Publications
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J. L. Willems (1985)
Banach Center Publications
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Rozonoer, L.I. (1999)
Mathematical Problems in Engineering
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Popescu, M., Dumitrache, A. (2005)
Mathematical Problems in Engineering
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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.
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
A. Pliś (1975)
Annales Polonici Mathematici
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Boscain, U., Piccoli, B. (1998)
Rendiconti del Seminario Matematico
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V. Janković (1981)
Matematički Vesnik
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Fabio Bagagiolo (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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We study a finite horizon problem for a system whose evolution is governed by a controlled ordinary differential equation, which takes also account of a hysteretic component: namely, the output of a Preisach operator of hysteresis. We derive a discontinuous infinite dimensional Hamilton–Jacobi equation and prove that, under fairly general hypotheses, the value function is the unique bounded and uniformly continuous viscosity solution of the corresponding Cauchy problem.
Muhafzan (2009)
Boletín de la Asociación Matemática Venezolana
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Gianna Stefani, PierLuigi Zezza (1995)
Banach Center Publications
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This paper is devoted to describing second order conditions in the framework of extremal problems, that is, conditions obtained by reducing the optimal control problem to an abstract one in a suitable Banach (or Hilbert) space. The studied problem includes equality constraints both on the end-points and on the state-control trajectory. The second goal is to give a complete description of necessary and sufficient second order conditions for weak local optimality by describing first the...