Local null controllability of nonlinear functional differential systems in Banach space

被引：51

作者：

Balachandran, K ^{[1
]}

Balasubramaniam, P ^{[1
]}

Dauer, JP ^{[1
]}

机构：

[1] UNIV TENNESSEE,DEPT MATH,CHATTANOOGA,TN

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 88卷 / 01期

关键词：

controllability; nonlinear functional differential systems; Schauder fixed-point theorem;

D O I：

10.1007/BF02192022

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Sufficient conditions for the local null controllability of nonlinear functional differential systems with unbounded linear operators in Banach space are established. The results are obtained using the semigroup of linear operators, fractional powers of operators, and the Schauder fixed-point theorem. Applications to parabolic differential systems are given.

引用

页码：61 / 75

页数：15

共 13 条

[1]

CARMICHEL N, 1984, NUMERICAL FUNCTIONAL, V7, P197

[2] CONTROLLABILITY QUESTIONS FOR NONLINEAR-SYSTEMS IN ABSTRACT SPACES [J].