Local null controllability of nonlinear functional differential systems in Banach space

被引：50

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 50 条

[21] Controllability of nonlocal fractional functional differential equations of neutral type in a Banach space
Sharma, Madhukant
Dubey, Shruti
INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2015, 5 (04) : 302 - 321
[22] Controllability of Evolution Differential Inclusions in Banach Space
Yu Jinfeng
Li Shiqiang
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 603 - 608
[23] A comment on the papers "A study on controllability of semilinear integrodifferential systems in Banach spaces" and "Controllability of neutral functional integro differential systems in Banach spaces"
Hernández, E
Pierri, M
Táboas, P
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (8-9) : 1291 - 1292
[24] On the theory of null-controllability for linear normal systems in a Banach space under constraints on the control
Minyuk, SA
DIFFERENTIAL EQUATIONS, 1995, 31 (12) : 1966 - 1974
[25] Controllability for Sobolev type fractional integro-differential systems in a Banach space
Hamdy M Ahmed
Advances in Difference Equations, 2012
[26] Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
Obukhovski, Valeri
Zecca, Pietro
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (09) : 3424 - 3436
[27] Controllability for Sobolev type fractional integro-differential systems in a Banach space
Ahmed, Hamdy M.
ADVANCES IN DIFFERENCE EQUATIONS, 2012,
[28] A LOCAL ATTAINABILITY PROPERTY FOR CONTROL SYSTEMS DEFINED BY NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS IN A BANACH SPACE
SEIERSTAD, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 8 (03) : 475 - +
[29] Null controllability of nonlinear integrodifferential systems with delays
Umana, R.A.
Nse, C.A.
Advances in Modelling and Analysis C, 2006, 61 (3-4): : 73 - 83
[30] ASYMPTOTIC NULL CONTROLLABILITY OF NONLINEAR PERTURBED SYSTEMS
DAUER, JP
BALACHANDRAN, K
BALASUBRAMANIAM, P
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 83 (01) : 167 - 179

← 1 2 3 4 5 →