SOME EFFICIENT ALGORITHMS FOR A CLASS OF ABSTRACT OPTIMIZATION PROBLEMS ARISING IN OPTIMAL CONTROL

被引：12

作者：

BARR, RO

GILBERT, EG

机构：

[1] Department of Electrical Engineering and Systems Science, michigan State University, East Lansing, Mich.

[2] Computer, Information, Control Engineering Program, University of Michigan, Ann Arbor, Mich.

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1969年 / AC14卷 / 06期

关键词：

D O I：

10.1109/TAC.1969.1099299

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Three abstract optimization problems are presented along with doubly iterative algorithms for their numerical solution. These algorithms are generalizations of particular algorithms described by Barr and Gilbert [19], [21] and Fujisawa and Yasuda [22]. The supporting theory is fully developed along with proofs of convergence. Practical aspects of computations are considered and procedures which insure rapid convergence are discussed. Two applications to discrete-time optimal control problems are described. Copyright © 1970 by The Institute of Electrical and Electronics Engineers, Inc.

引用

页码：640 / +

页数：1

共 38 条

[1] BABUNASH.TG, 1964, DOKL AKAD NAUK SSSR+, V155, P295
[2] BABUNASHVILI TG, 1964, SIAM J CONTROL, V2, P261
[3] AN EFFICIENT COMPUTATIONAL PROCEDURE FOR A GENERALIZED QUADRATIC PROGRAMMING PROBLEM
BARR, RO
[J]. SIAM JOURNAL ON CONTROL, 1969, 7 (03): : 415 - &
[4] BARR RO, 1967, MATHEMATICAL THEORY, P63
[5] BARR RO, 1966, 3 P IFAC C
[6] BARR RO, 1966, THESIS U MICHIGAN
[7] Bellman R.E, 1957, DYNAMIC PROGRAMMING
[8] BRYSON AE, 1962, T ASME E, V29, P247
[9] A TIGHT UPPER BOUND ON RATE OF CONVERGENCE OF FRANK-WOLFE ALGORITHM
CANON, MD
CULLUM, CD
[J]. SIAM JOURNAL ON CONTROL, 1968, 6 (04): : 509 - &
[10] CANON MD, 1968, RC2023 IBM RES REPT

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