Relative controllability of fractional dynamical systems with delays in control

被引：56
|
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：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Relative controllability; Time delays; Distributed delays; Fractional derivative; Mittag-Leffler function; NONLINEAR-SYSTEMS; DISTRIBUTED DELAYS; LINEAR-SYSTEMS; INTEGRODIFFERENTIAL EQUATIONS;
D O I：
10.1016/j.cnsns.2011.12.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the controllability of nonlinear fractional dynamical systems with time varying multiple delays and distributed delays in control defined in finite dimensional spaces. Sufficient conditions for controllability results are obtained using the Schauder fixed point theorem and the controllability Grammian matrix which is defined by Mittag-Leffler matrix function. Examples are provided to illustrate the theory. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：3508 / 3520
页数：13
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