Optimal boundary control of distributed systems involving dynamic boundary conditions.
Kerbal, S., Ahmed, N.U. (1998)
Mathematical Problems in Engineering
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Kerbal, S., Ahmed, N.U. (1998)
Mathematical Problems in Engineering
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Ahmed, N.U., Xiang, X. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Ahmed, N.U., Kerbal, Sebti (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Ledzewicz, Urszula (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Jong Yeoul Park, Jin-Mun Jeong, Young Chel Kwun (1996)
Kybernetika
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Papageorgiou, N. (1995)
Mathematical Problems in Engineering
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Park, Jong Yeoul, Kang, Yong Han (2001)
International Journal of Mathematics and Mathematical Sciences
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Janković, Vladimir (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Ryszarda Rempała
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The forecast horizon is defined as a property of a class of functions. Some general existence conditions are derived. The results are applied to the process x(·) described by the differential equationẋ(t) = e(t,u(t)) - f(t,x(t)), ,where e, f are nonnegative and increasing in the second variable, and u(·) denotes a control variable.A cost functional is associated with the process and the control. The cost is characterized by three functions: g(t,u), h(t,x), k(x), and a time interval....
Nadir Arada (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an -space (). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.