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991.
《Optimization》2012,61(1-2):151-159
This paper deals with the disclosure of a note-worthy relationship between solutions of variational problems of double integrals and transportation flow problems for two products. It is founded on the duality for transportation flow problems and deposit problems 相似文献
992.
《Optimization》2012,61(6):833-849
A family of linear-quadratic optimal control problems with pointwise mixed state-control constraints governed by linear elliptic partial differential equations is considered. All data depend on a vector parameter of perturbations. Lipschitz stability with respect to perturbations of the optimal control, the state and adjoint variables, and the Lagrange multipliers is established. 相似文献
993.
《Optimization》2012,61(4):509-529
This article studies multiobjective optimal control problems in the discrete time framework and in the infinite horizon case. The functions appearing in the problems satisfy smoothness conditions. This article generalizes to the multiobjective case results obtained for single-objective optimal control problems in that framework. The dynamics are governed by difference equations or difference inequations. Necessary conditions of Pareto optimality are presented, namely Pontryagin maximum principles in the weak form and in the strong form. Sufficient conditions are also provided. Other notions of Pareto optimality are defined when the infinite series do not necessarily converge. 相似文献
994.
《Optimization》2012,61(5):1219-1238
This paper studies the solution stability of a parametric optimal control problem governed by single linear elliptic equations with mixed control-state constraints and convex cost functions. By reducing the problem to a parametric programming problem and a parametric variational inequality, we obtain sufficient conditions under which the solution map to an elliptic optimal control problem is lower semicontinuous. 相似文献
995.
《Optimization》2012,61(10):1819-1836
ABSTRACTIn this paper, we study a distributed optimal control problem of a coupled nonlinear system of reaction–diffusion equations. The system consists of three partial differential equations to represent cancer cell density, matrix-degrading enzymes concentration and oxygen concentration, and an ordinary differential equation to describe the extracellular matrix concentration. Our aim is to minimize the growth of cancer cells by controlling the production of matrix-degrading enzymes. First, we prove the existence and uniqueness of solutions of the direct problem. Then, we prove the existence of an optimal control. Finally, we derive the first-order optimality conditions and prove the existence of weak solutions of the adjoint problem. 相似文献
996.
997.
《Optimization》2012,61(6):877-885
In this paper it is shown, how Lagrange multiplier rules for nonlinear optimal control problems in Banach spaces can be transferred by a simple device from the initial space to a more useful Banach space, in order to avoid unhandy dual spaces. The method is applied to state-equations of the type x-K(x,u)= 0, where the Fréchet-derivative of K has a certain smoothing property which is typical for integral operators. 相似文献
998.
《Optimization》2012,61(6):861-873
An optimal control problem governed by a variational inequality of elliptic type is considered. Necessary optimality conditions are obtained and, in some special cases, the optimal control is determined. 相似文献
999.
《Optimization》2012,61(2):111-127
Necessary and sufficient proper efficiency conditionsand eight duality models are presented for two classes of constrained multiobjective optimal controi problemb containing albitl-ary norills and square roots of positive semidefinite quadratic forms 相似文献
1000.
《Optimization》2012,61(4):621-634
We consider an optimal control problem for an abstract ITO equation on a Gelfand triple of Hilbert spaces. This control problem is approximated by means of a family of optimal control problems for elliptic systems 相似文献