ON INFINITE-DIMENSIONAL CONTROL-SYSTEMS WITH STATE AND CONTROL CONSTRAINTS

被引：7

作者：

PAPAGEORGIOU, NS ^{[1
]}

机构：

[1] UNIV CALIF DAVIS,DEPT MATH 1015,DAVIS,CA 95616

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1990年 / 100卷 / 01期

关键词：

continuous selections; controllability; convex subdifferential; lower semicontinuous and upper semicontinuous multifunction; Relaxation; relaxed system;

D O I：

10.1007/BF02881116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we examine infinite-dimensional control systems governed by semilinear evolution equations and having both state and control constraint. We introduce the relaxed system and show that the original trajectories are dense in an appropriate function space in the relaxed ones. We also determine the dependence of the solution set on the initial conditions. Then using those results we establish necessary and sufficient conditions for optimality for some optimization problems. Finally we prove some controllability results. © 1990 Indian Academy of Sciences.

引用

页码：65 / 77

页数：13

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