Optimal Control of Nonlinear Fredholm Integral Equations

被引：0

作者：

T. Roubíček

机构：

[1] Charles University,Mathematical Institute

[2] Prague,undefined

[3] and Institute of Information Theory and Automation,undefined

[4] Academy of Sciences,undefined

来源：

Journal of Optimization Theory and Applications | 1998年 / 97卷

关键词：

Nonlinear integral equations; optimal control in ; -spaces; relaxation; existence; stability; nonconcentration; optimality conditions; Pontryagin maximum principle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Optimal control problems with nonlinear equations usually do not possess optimal solutions, so that their natural (i.e., continuous) extension (relaxation) must be done. The relaxed problem may also serve to derive first-order necessary optimality condition in the form of the Pontryagin maximum principle. This is done here for nonlinear Fredholm integral equations and problems coercive in an Lp-space of controls with p<+∞. Results about a continuous extension of the Uryson operator play a key role.

引用

页码：707 / 729

页数：22

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