Controllability of nonlinear systems in Banach spaces: A survey

被引：153

作者：

Balachandran, K ^{[1
]}

Dauer, JP

机构：

[1] Bharathiar Univ, Coimbatore, Tamil Nadu, India

[2] Univ Tennessee, Chattanooga, TN USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2002年 / 115卷 / 01期

关键词：

exact controllability; approximate controllability; K-controllability; boundary controllability; fixed-point theorems; semigroup theory;

D O I：

10.1023/A:1019668728098

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：

This paper presents a survey on research using fixed-point theorems and semigroup theory to study the controllability of nonlinear systems and functional integrodifferential systems in Banach spaces. Also discussed is the use of this technique in K-controllability and boundary controllability problems for nonlinear systems and integrodifferential systems in abstract spaces.

引用

页码：7 / 28

页数：22

共 50 条

[11] Boundary controllability of integrodifferential systems in Banach spaces
K. Balachandran
E. R. Anandhi
Proceedings Mathematical Sciences, 2001, 111 : 127 - 135
[12] Controllability of fractional integrodifferential systems in Banach spaces
Balachandran, K.
Park, J. Y.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 363 - 367
[13] Boundary controllability of integrodifferential systems in Banach spaces
Balachandran, K
Anandhi, ER
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (01): : 127 - 135
[14] On null controllability of linear systems in Banach spaces
Vieru, A
SYSTEMS & CONTROL LETTERS, 2005, 54 (04) : 331 - 337
[15] Controllability of impulsive second-order nonlinear systems with nonlocal conditions in Banach spaces
Arthi, G.
Balachandran, K.
Journal of Control and Decision, 2015, 2 (03) : 203 - 218
[16] 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
[17] A study on controllability of semilinear integrodifferential systems in Banach spaces
Sakthivel, R
Choi, QH
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 519 - 527
[18] Local controllability of semilinear evolution systems in Banach spaces
Balachandran, K
Dauer, JP
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (03): : 311 - 320
[19] A study on controllability of semilinear integrodifferential systems in Banach spaces
Sakthivel, R.
Choi, Q.H.
Computers and Mathematics with Applications, 2004, 47 (4-5): : 519 - 527
[20] Controllability results for fractional integrodifferential systems in Banach spaces
Radhakrishnan, Bheeman
Balachandran, Krishnan
Anukokila, Paraman
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2014, 5 (02) : 184 - 197

← 1 2 3 4 5 →