Homogenization of Optimal Control Problems for Functional Differential Equations

被引:0
作者
G. Buttazzo
M. E. Drakhlin
L. Freddi
E. Stepanov
机构
[1] Università di Pisa,Dipartimento di Matematica
[2] College of Judea and Samaria,Research Institute
[3] Università di Udine,Dipartimento di Matematica e Informatica
[4] Institute of Fine Mechanics and Optics,undefined
[5] Scuola Normale Superiore,undefined
来源
Journal of Optimization Theory and Applications | 1997年 / 93卷
关键词
Optimal control; variational convergence; functional differential equations;
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中图分类号
学科分类号
摘要
The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence.
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页码:103 / 119
页数:16
相关论文
共 3 条
[1]  
Buttazzo G.(1995)Optimal Control Problems with Weakly Converging Input Operators Discrete and Continuous Dynamical Systems 1 401-420
[2]  
Freddi L.(1993)On Convergence of Sequences of Internal Superposition Operators Functional Differential Equations 1 83-94
[3]  
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