Practical stability analysis of fractional-order impulsive control systems

被引：38

作者：

Stamova, Ivanka ^{[1
]}

Henderson, Johnny ^{[2
]}

机构：

[1] Univ Texas San Antonio, Dept Math, One UTSA Circle, San Antonio, TX 78249 USA

[2] Baylor Univ, Dept Math, Waco, TX 76798 USA

来源：

ISA TRANSACTIONS | 2016年 / 64卷

关键词：

Practical stability; Fractional differential systems; Impulsive control; BOUNDARY-VALUE-PROBLEMS; ASYMPTOTIC STABILITY; PERIODIC-SOLUTIONS; GLOBAL STABILITY; NEURAL-NETWORKS; SYNCHRONIZATION; EXISTENCE; DYNAMICS; LYAPUNOV; CHAOS;

D O I：

10.1016/j.isatra.2016.05.012

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we obtain sufficient conditions for practical stability of a nonlinear system of differential equations of fractional order subject to impulse effects. Our results provide a design method of impulsive control law which practically stabilizes the impulse free fractional-order system. (C) 2016 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：77 / 85

页数：9

共 41 条

[1] EXISTENCE OF SOLUTIONS FOR IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER [J].

Ahmad, Bashir ;

Nieto, Juan J. .

TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (03) :981-993

[2]

[Anonymous], 2006, Contemporary Mathematics and its Applications

[3]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[4] Synchronization of a Class of Fractional-Order Chaotic Neural Networks [J].

Chen, Liping ;

Qu, Jianfeng ;

Chai, Yi ;

Wu, Ranchao ;

Qi, Guoyuan .

ENTROPY, 2013, 15 (08) :3265-3276

[5] Practical stability in terms of two measures for fractional order dynamic systems in Caputo's sense with initial time difference [J].

Cicek, Muhammed ;

Yakar, Coskun ;

Gucen, Mustafa Bayram .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (02) :732-742

[6]

De la Sen M, 2011, APPL MATH SCI, V5, P717

[7]

Diethelm K., 2010, LECT NOTES MATH

[8] On the concept and existence of solution for impulsive fractional differential equations [J].

Feckan, Michal ;

Zhou, Yong ;

Wang, JinRong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) :3050-3060

[9] Nonconvex integer optimal robust impulsive control strategy for first-order piecewise finite precision nonlinear random early detection algorithm [J].

Ho, Charlotte Yuk-Fan ;

Ling, Bingo Wing-Kuen ;

Iu, Herbert H. C. ;

Fernando, Tyrone L. .

ISA TRANSACTIONS, 2012, 51 (03) :439-445

[10] Nonlinear dynamics and chaos in fractional-order neural networks [J].

Kaslik, Eva ;

Sivasundaram, Seenith .

NEURAL NETWORKS, 2012, 32 :245-256

← 1 2 3 4 5 →