BOUND ON THE BOUNDARY INPUT MAP FOR PARABOLIC EQUATIONS WITH APPLICATION TO TIME OPTIMAL-CONTROL

被引：47

作者：

WASHBURN, D ^{[1
]}

机构：

[1] USAF ACAD,DEPT MATH SCI,COLORADO SPRINGS,CO 80840

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1979年 / 17卷 / 05期

关键词：

D O I：

10.1137/0317046

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A semigroup formulation of boundary input problems for systems governed by parabolic partial differential equations is presented. A useful bound on the operator kernel of the input map is established under very general conditions. This bound is used to study the input map and the results used to examine the time optimal boundary control problem.

引用

页码：652 / 671

页数：20

共 16 条

[1]

BALAKRISHNAN AV, 1976, 2ND P KINGST C DIFF

[2]

BALAKRISHNAN AV, 1978, 1977 P C THEOR NONL

[3]

BALAKRISHNAN AV, 1976, APPLIED FUNCTIONAL A

[4]

Butzer P.L., 1967, SEMIGROUPS OPERATORS

[5] *SUR LE THEOREME DE LEBESGUE-NIKODYM(V) [J].

DIEUDONNE, J .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1951, 3 (02) :129-139

[6]

DUNFORD N, 1963, LINEAR OPERATORS

[7]

Friedman A., 1969, PARTIAL DIFFERENTIAL

[8]

Lions J-L., 1971, GRUNDLEHREN MATH WIS, DOI 10.1007/978-3-642-65024-6

[9]

LIONS JL, 1967, NONHOMOGENEOUS BOUND, V1

[10]

MIKHLIN SG, 1970, MATH PHYSICS ADV COU

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