On some optimal control problems for the heat radiative transfer equation
Sandro Manservisi, Knut Heusermann (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Displaying similar documents to “Optimal control of a rotating body beam”
On some optimal control problems for the heat radiative transfer equation
Regional control problem for distributed bilinear systems: Approach and simulations
Karima Ztot, El Hassan Zerrik, Hamid Bourray (2011)
International Journal of Applied Mathematics and Computer Science
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This paper investigates the regional control problem for infinite dimensional bilinear systems. We develop an approach that characterizes the optimal control and leads to a numerical algorithm. The obtained results are successfully illustrated by simulations.
Optimal control with partial information for stochastic Volterra equations.
Øksendal, Bernt, Zhang, Tusheng (2010)
International Journal of Stochastic Analysis
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Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
Christian Meyer (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffuse-gray conductive-radiative heat transfer. After stating first-order necessary conditions, second-order sufficient conditions are derived that account for strongly active sets. These conditions ensure local optimality in an -neighborhood of a reference function whereby the underlying analysis...
Relaxation of optimal control problems in -spaces
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.
On adaptive control for the continuous time-varying JLQG problem
Adam Czornik, Andrzej Świernik (2005)
International Journal of Applied Mathematics and Computer Science
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In this paper the adaptive control problem for a continuous infinite time-varying stochastic control system with jumps in parameters and quadratic cost is investigated. It is assumed that the unknown coefficients of the system have limits as time tends to infinity and the boundary system is absolutely observable and stabilizable. Under these assumptions it is shown that the optimal value of the quadratic cost can be reached based only on the values of these limits, which, in turn, can...
Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems.
Liu, Haihong, Su, Ning (2006)
International Journal of Mathematics and Mathematical Sciences
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Receding horizon optimal control for infinite dimensional systems
Kazufumi Ito, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.