NONNEGATIVITY OF A QUADRATIC FUNCTIONAL

被引：31

作者：

MOLINARI, BP ^{[1
]}

机构：

[1] UNIV NEW S WALES,SCH ELECT ENGN,KENSINGTON 2033,NEW S WALES,AUSTRALIA

来源：

SIAM JOURNAL ON CONTROL | 1975年 / 13卷 / 04期

关键词：

D O I：

10.1137/0313046

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The question of the nonnegativity of an integral that arises in optimal control, in optimal filtering, and in system passivity is considered. Sufficient conditions and necessary conditions for such an integral to be nonnegative are derived.

引用

页码：792 / 806

页数：15

共 20 条

[1]

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

[2] PARTIALLY SINGULAR LINEAR-QUADRATIC CONTROL PROBLEMS [J].

ANDERSON, BD .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1973, AC18 (04) :407-409

[3]

Brockett, 1970, FINITE DIMENSIONAL L

[4]

BRYSON A, 1969, APPLIED OPTIMAL CONT

[5]

COPPEL WA, 1971, LECTURE NOTES MATH, V220

[6]

COPPEL WA, IN PRESS

[7]

GELFAND JM, 1963, CALCULUS VARIATIONS

[8]

Greub W.H, 1967, LINEAR ALGEBRA

[9] GENERAL SUFFICIENCY THEOREM FOR SECOND VARIATION [J].

JACOBSON, DH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (03) :578-&

[10] NECESSARY AND SUFFICIENT CONDITIONS FOR OPTIMALITY FOR SINGULAR CONTROL PROBLEMS - LIMIT APPROACH [J].

JACOBSON, DH ;

SPEYER, JL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 34 (02) :239-&

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