CONSTRAINED CONTROL OF A NONLINEAR 2-POINT BOUNDARY-VALUE PROBLEM .1.

被引：10

作者：

GOEBEL, M

RAITUMS, U

机构：

[1] MARTIN LUTHER UNIV HALLE WITTENBERG,FACHBERICH MATH & INFORMAT,D-06099 HALLE,GERMANY

[2] UNIV LATVIA,INST MATH & COMP SCI,1459 RIGA,LATVIA

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 1994年 / 4卷 / 04期

关键词：

CONSTRAINED CONTROL PROBLEM; MCSHANE-VARIATION; PONTRYAGIN MINIMUM PRINCIPLE; LINEARIZED PONTRYAGIN MINIMUM PRINCIPLE;

D O I：

10.1007/BF01099264

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 consider an optimal control problem for a nonlinear second order ordinary differential equation with integral constraints. A necessary optimality condition in form of the Pontryagin minimum principle is derived. The proof is based on McShane-variations of the optimal control, a thorough study of their behaviour in dependence of some defining parameters, a generalized Green formula for second order ordinary differential equations with measurable coefficients and certain tools of convex analysis.

引用

页码：367 / 395

页数：29

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