Relative controllability of fractional dynamical systems with distributed delays in control

被引：39

作者：

Balachandran, K. ^{[2
]}

Zhou, Yong ^{[1
]}

Kokila, J. ^{[2
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Relative controllability; Distributed delays; Fractional derivative; Mittag Leffler function; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; INTEGRODIFFERENTIAL EQUATIONS; NONLOCAL CONDITION; PERTURBATIONS; DERIVATIVES; MODELS;

D O I：

10.1016/j.camwa.2011.11.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the global relative controllability of linear and nonlinear fractional dynamical systems with distributed delays in control for finite dimensional spaces. Sufficient conditions for controllability results are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by Mittag Leffler matrix function. An example is given to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3201 / 3209

页数：9

共 33 条

[1] Finite-Time Controllability of Fractional-order Systems [J].

Adams, Jay L. ;

Hartley, Tom T. .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2008, 3 (02)

[2]

[Anonymous], 2006, THEORY APPL FRACTION

[3]

[Anonymous], 1993, INTRO FRACTIONAL CA

[4]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[5] CONTROLLABILITY OF NONLINEAR-SYSTEMS VIA FIXED-POINT THEOREMS [J].

BALACHANDRAN, K ;

DAUER, JP .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (03) :345-352

[6] Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators [J].

Balachandran, K. ;

Kiruthika, S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1350-1358

[7] On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces [J].

Balachandran, K. ;

Kiruthika, S. ;

Trujillo, J. J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1157-1165

[8] Existence results for fractional impulsive integrodifferential equations in Banach spaces [J].

Balachandran, K. ;

Kiruthika, S. ;

Trujillo, J. J. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) :1970-1977

[9] CONTROLLABILITY OF NONLINEAR PERTURBATIONS OF LINEAR-SYSTEMS WITH DISTRIBUTED DELAYS IN CONTROL [J].

BALACHANDRAN, K .

ROBOTICA, 1985, 3 (APR-) :89-91

[10]

BALACHANDRAN K, 1983, KYBERNETIKA, V19, P475

← 1 2 3 4 →