NECESSARY CONDITIONS FOR INFINITE-DIMENSIONAL CONTROL-PROBLEMS

被引：25

作者：

FATTORINI, HO ^{[1
]}

FRANKOWSKA, H ^{[1
]}

机构：

[1] UNIV PARIS 09,CEREMADE,F-75576 PARIS 16,FRANCE

来源：

MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 1991年 / 4卷 / 01期

关键词：

LAGRANGE MULTIPLIER RULE; KUHN-TUCKER CONDITIONS; MAXIMUM PRINCIPLE; OPTIMAL CONTROLS; APPROXIMATELY OPTIMAL CONTROLS;

D O I：

10.1007/BF02551380

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider infinite-dimensional nonlinear programming problems which consist of minimizing a function-closed-integral-0(u) under a target set constraint. We obtain necessary conditions for minima that reduce to the Kuhn-Tucker conditions in the finite-dimensional case. Among other applications of these necessary conditions and related results, we derive Pontryagin's maximum principle for a class of control systems described by semilinear equations in Hilbert space and study convergence properties of sequences of near-optimal controls for these systems.

引用

页码：41 / 67

页数：27

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