Sufficient optimality conditions in a time-optimal problem

被引：0

作者：

Goncharova, MN ^{[1
]}

机构：

[1] Yanko Kupala State Univ Grodno, Grodno, BELARUS

来源：

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL | 2005年 / 44卷 / 05期

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Sufficient optimality conditions for a linear time-optimal problem with state constraints are obtained in the case when the costate variable is an arbitrary function of bounded variation. An example of a time-optimal problem for a mass point with a state constraint in the form of a countable number of linear inequalities, which satisfies the proposed conditions, is given.

引用

页码：719 / 727

页数：9

共 50 条

[1] ON NECESSARY CONDITIONS OF ARBITRARY ORDER FOR OPTIMALITY IN A TIME-OPTIMAL PROBLEM
TRETYAK, AI
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1987, 132 (1-2): : 255 - 268
[2] Sufficient optimality conditions for the optimal control problem
Djendel, Khelifa
Zhou, Zhongcheng
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2023, 44 (03): : 1115 - 1128
[3] Necessary Conditions of Optimality for a Time-Optimal Bi-level Sweeping Control Problem
Khalil, Nathalie T.
Pereira, Fernando Lobo
[J]. IFAC PAPERSONLINE, 2020, 53 (02): : 6831 - 6836
[4] 2ND ORDER OPTIMALITY PRINCIPLE FOR A TIME-OPTIMAL PROBLEM
AGRACEV, AA
GAMKRELIDZE, RV
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1976, 29 (04): : 547 - 576
[5] SUFFICIENT OPTIMALITY CONDITIONS FOR A DISCONTINUOUS OPTIMAL-CONTROL PROBLEM WITH DELAY
ANDREEVA, EA
[J]. AUTOMATION AND REMOTE CONTROL, 1989, 50 (07) : 898 - 903
[6] ON ODD-ORDER NECESSARY CONDITIONS FOR OPTIMALITY IN A TIME-OPTIMAL CONTROL PROBLEM FOR SYSTEMS LINEAR IN THE CONTROL
TRETYAK, AI
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1991, 70 (01): : 47 - 63
[7] Sufficient conditions of optimality for a survival problem
Fazylov, AZ
[J]. PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1997, 61 (03): : 519 - 521
[8] SUFFICIENT CONDITIONS FOR SMOOTHNESS OF BELLMAN FUNCTION IN LINEAR TIME-OPTIMAL PROBLEMS
KUN, LA
PRONOZIN, YF
[J]. ENGINEERING CYBERNETICS, 1972, 10 (01): : 6 - 11
[9] A sufficient optimality condition for bang-bang controls on local time-optimal control problems
Zhu, JH
Cai, JP
[J]. PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 250 - 254
[10] Necessary and sufficient conditions of optimality for optimal control problem with initial and terminal costs
Bahlali, Seid
Labed, Boubakeur
[J]. RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2006, 14 (03) : 291 - 301

← 1 2 3 4 5 →