SEMIGROUP APPROACH FOR THE APPROXIMATION OF A CONTROL PROBLEM WITH UNBOUNDED DYNAMICS

被引：4

作者：

LORETI, P ^{[1
]}

SICONOLFI, A ^{[1
]}

机构：

[1] UNIV ROMA LA SAPIENZA,DIPARTIMENTO MATEMAT,I-00185 ROME,ITALY

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 79卷 / 03期

关键词：

DISTRIBUTED CONTROL PROBLEMS; APPROXIMATION THEOREMS; UNBOUNDED LINEAR OPERATORS; SEMIGROUP THEORY;

D O I：

10.1007/BF00940561

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we approximate a control problem in an infinite-dimensional Hilbert space by means of a sequence of discrete problems. In the differential equation which describes the dynamics, a Lipschitz perturbation of an unbounded linear operator appears. We prove a convergence result of the approximation value functions to the value function of the original problem.

引用

页码：599 / 610

页数：12

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