Controllability Analysis of Nonlinear Neutral-type Fractional-order Differential Systems with State Delay and Impulsive Effects

被引：33

作者：

Vadivoo, B. Sundara ^{[1
]}

Ramachandran, Raja ^{[2
]}

Cao, Jinde ^{[3
,4
,5
]}

Zhang, Hai ^{[6
]}

Li, Xiaodi ^{[5
]}

机构：

[1] Alagappa Univ, Dept Math, Karaikkudi 630004, Tamil Nadu, India

[2] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi 630004, Tamil Nadu, India

[3] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[4] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

[5] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

[6] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2018年 / 16卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; controllability; fractional integro-differential equations; impulses; neutral-type; state delay; DYNAMICAL-SYSTEMS; NEURAL-NETWORKS; RELATIVE-CONTROLLABILITY; STABILITY; EQUATIONS;

D O I：

10.1007/s12555-017-0281-1

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 paper is concerned with the controllability problem of nonlinear neutral-type fractional differential systems with state delay and impulsive effects. By using the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function and Laplace transform, a new set of sufficient conditions are obtained for the considered system to be controllable. Finally, two numerical examples are given to demonstrate the validity of the obtained theoretical results.

引用

页码：659 / 669

页数：11

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