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

共 50 条

[21] NUMERICAL-SOLUTION OF A SINGULAR 2-POINT BOUNDARY-VALUE PROBLEM
STEINBERG, J
JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1977, 20 (01): : 45 - 52
[22] SOLUTION OF TROESCHS 2-POINT BOUNDARY-VALUE PROBLEM BY SHOOTING TECHNIQUE
KUBICEK, M
HLAVACEK, V
JOURNAL OF COMPUTATIONAL PHYSICS, 1975, 17 (01) : 95 - 101
[23] ACCURATE DIFFERENCE METHODS FOR NONLINEAR 2-POINT BOUNDARY-VALUE PROBLEMS
KELLER, HB
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (02) : 305 - 320
[24] ACCURATE DIFFERENCE METHODS FOR NONLINEAR 2-POINT BOUNDARY-VALUE PROBLEMS
KELLER, HB
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A207 - A207
[25] SOLUTION OF A NONLINEAR 2 POINT BOUNDARY-VALUE PROBLEM
MOCK, MS
NUMERISCHE MATHEMATIK, 1974, 23 (01) : 37 - 46
[26] 2-POINT BOUNDARY-VALUE PROBLEM FOR THE DIFFERENTIAL-EQUATION WITH A PARAMETER
EIDELMAN, YS
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1983, (04): : 16 - 19
[27] ON THE NUMERICAL-INTEGRATION OF A SINGULAR 2-POINT BOUNDARY-VALUE PROBLEM
CHAWLA, MM
JAIN, MK
SUBRAMANIAN, R
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1990, 31 (3-4) : 187 - 194
[28] SOLVABILITY OF A 2-POINT BOUNDARY-VALUE PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION
GORBUNOV, AD
KUCHERENKO, EI
DOKLADY AKADEMII NAUK SSSR, 1975, 220 (03): : 516 - 519
[29] THE 2-POINT BOUNDARY-VALUE PROBLEM IN GEOMETRICAL MECHANICS WITH DISCONTINUOUS FORCES
GELMAN, BD
GLIKLIKH, LE
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1980, 44 (03): : 396 - 399
[30] BIFURCATION AND STABILITY OF POSITIVE SOLUTIONS OF A 2-POINT BOUNDARY-VALUE PROBLEM
WANG, SH
KAZARINOFF, ND
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 52 : 334 - 342

← 1 2 3 4 5 →