On controllability of second-order impulsive neutral integrodifferential systems with infinite delay

被引：15

作者：

Arthi, G. ^{[1
]}

Park, Ju H. ^{[2
]}

机构：

[1] Yeungnam Univ, Dept Informat & Commun Engn Elect Engn, Kyongsan 712749, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2015年 / 32卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

controllability; impulsive neutral systems; integrodifferential systems; fixed point theorem; FUNCTIONAL-DIFFERENTIAL EQUATIONS; BANACH-SPACES; APPROXIMATE CONTROLLABILITY; CONSTRAINED CONTROLLABILITY; NONLOCAL CONDITIONS; SEMILINEAR SYSTEMS; HEAT CONDUCTION; WAVE-EQUATIONS; EXISTENCE; INCLUSIONS;

D O I：

10.1093/imamci/dnu014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article is concerned with the controllability of damped second-order impulsive neutral integrodifferential systems with infinite delay in Banach spaces. A set of sufficient conditions for the controllability of such systems are formulated by using a fixed point analysis approach. In particular, the compactness condition on the cosine family of operators appearing in various literatures is not required here. At last, an example is given to illustrate the obtained result.

引用

页码：639 / 657

页数：19

共 46 条

[1] Multiple nonnegative solutions for second order impulsive differential equations [J].

Agarwal, RP ;

O'Regan, D .

APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (01) :51-59

[2]

[Anonymous], 1997, Bull Korean Math Soc

[3]

[Anonymous], DYN CONTIN DISCRET A

[4]

[Anonymous], 1997, Dynamic Impulse Systems: Theory and Applications

[5]

[Anonymous], NONLINEAR FUNCT ANAL

[6] Controllability of neutral functional evolution integrodifferential systems with infinite delay [J].

Balachandran, K. ;

Leelamani, A. ;

Kim, J.-H. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2008, 25 (02) :157-171

[7] Controllability of second-order semilinear neutral functional differential systems in Banach spaces [J].

Balachandran, K ;

Anthoni, SM .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (10-11) :1223-+

[8]

BALASUBRAMANIAM P, 2014, INVERSE PROBL SCI EN, V22, P177, DOI DOI 10.1080/01630563.2013.811420

[9]

Chalishajar D. N., 2012, Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, V19, P107

[10] Controllability of second-order differential and integro-differential inclusions in Banach spaces [J].

Chang, Y. K. ;

Li, W. T. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 129 (01) :77-87

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