An abstract setting for differential Riccati equations in optimal control problems for hyperbolic/Petrowski-type P. D. E. s with boundary control and slightly smoothing observation.
Triggiani, R. (1996)
Abstract and Applied Analysis
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Triggiani, R. (1996)
Abstract and Applied Analysis
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Wang, Lianwen (2007)
Boundary Value Problems [electronic only]
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Nahak, C. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Wiesław Kotarski (1996)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Torres, Delfim F. Marado
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Madalina Petcu, Roger Temam (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.
Lassana Samassi, Rabah Tahraoui (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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The aim of this paper is to give a general idea to state optimality conditions of control problems in the following form: , (1) where is a set of admissible controls and is the solution of the following equation: ; . (2). The results are nonlocal and new.
Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Ledzewicz, Urszula (1993)
Journal of Applied Mathematics and Stochastic Analysis
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