NONCONVEX OPTIMIZATION PROBLEM - THE INFINITE-HORIZON LINEAR-QUADRATIC CONTROL PROBLEM WITH QUADRATIC CONSTRAINTS

被引：98

作者：

YAKUBOVICH, VA ^{[1
]}

机构：

[1] ST PETERSBURG UNIV,DEPT MATH,ST PETERSBURG 198904,USSR

来源：

SYSTEMS & CONTROL LETTERS | 1992年 / 19卷 / 01期

关键词：

LINEAR-QUADRATIC CONTROL; QUADRATIC CONSTRAINTS; LURE EQUATIONS; S-PROCEDURE; NONCONVEX OPTIMIZATION PROBLEM;

D O I：

10.1016/0167-6911(92)90034-P

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a general method for the solution of the problem of minimization of a quadratic functional in a Hilbert space over the intersection of some subspace and a set defined by special quadratic constraints. Many optimal control problems can be formulated in this abstract form. As an example a stationary infinite-horizon linear-quadratic optimization problem with quadratic constraints is posed and solved.

引用

页码：13 / 22

页数：10

共 15 条

[1]

Anderson B. D. O., 1971, LINEAR OPTIMAL CONTR

[2]

FRADKOV AL, 1973, VESTN LENINGR U, P81

[3]

GORBATENKO SA, 1976, SYNTHESIS ANAL MOVEM

[4]

LEITMANN G, 1979, J OPTIM THEORY APPL, V27

[5]

MEGRETSKI AV, 1990, P LENINGRAD MATH SOC, P134

[6]

MEGRETSKY AV, 1900, 1 MITT LEFFL I PREPR

[7]

NIKOLSKII NK, 1986, TREATISE SHIFT OPERA

[8] SINGULAR OPTIMAL-CONTROL - A GEOMETRIC APPROACH [J].

WILLEMS, JC ;

KITAPCI, A ;

SILVERMAN, LM .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (02) :323-337

[9] LEAST SQUARES STATIONARY OPTIMAL CONTROL AND ALGEBRAIC RICCATI EQUATION [J].

WILLEMS, JC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (06) :621-+

[10]

Wonham W., 1979, LINEAR MULTIVARIABLE

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