Fixed-time stability and stabilization of impulsive dynamical systems

被引：79

作者：

Li, Hongfei ^{[1
]}

Li, Chuandong ^{[1
]}

Huang, Tingwen ^{[2
]}

Ouyang, Deqiang ^{[3
]}

机构：

[1] Southwest Univ, Coll Elect & Informat Engn, Chongqing Key Lab Nonlinear Circuits & Intelligent, Chongqing 400715, Peoples R China

[2] Texas A&M Univ Qatar, Dept Math, Doha 23874, Qatar

[3] Univ Elect Sci & Technol, Coll Comp Sci & Engn, Chengdu 611731, Sichuan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 18期

基金：

中国国家自然科学基金;

关键词：

SWITCHED NONLINEAR-SYSTEMS; SLIDING MODE CONTROL; FINITE-TIME; NEURAL-NETWORKS; LINEAR-SYSTEMS; SYNCHRONIZATION; DELAYS;

D O I：

10.1016/j.jfranklin.2017.09.036

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 mainly tends to consider the fixed-time stability behavior for impulsive dynamical systems. An efficient theorem is established to construct an impulsive comparison system. By means of inequality analysis method, certain average impulsive interval and Lyapunov function, some sufficient conditions are given to ensure the fixed-time stability of impulsive dynamical systems. Moreover, as an important application, the fixed-time stabilization of a class of coupled impulsive neural networks is proposed. By designing a discontinuous control law, several new criteria are obtained to guarantee the fixed-time stabilization of the coupled impulsive neural networks. Finally, two numerical simulations are provided to illustrate the validity of the theoretical analysis. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8626 / 8644

页数：19

共 37 条

[1] Stabilization and optimization of linear systems via pathwise state-feedback impulsive control [J].

Ai, Zidong .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (03) :1637-1657

[2] Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems [J].

Ai, Zidong ;

Zong, Guangdeng .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 245 :462-473

[3] Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems [J].

Amato, F. ;

De Tommasi, G. ;

Pironti, A. .

AUTOMATICA, 2013, 49 (08) :2546-2550

[4] Finite-time control of discrete-time linear systems: Analysis and design conditions [J].

Amato, Francesco ;

Ariola, Marco ;

Cosentino, Carlo .

AUTOMATICA, 2010, 46 (05) :919-924

[5] Finite time stability of a class of hybrid dynamical systems [J].

Chen, G. ;

Yang, Y. ;

Li, J. .

IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (01) :8-13

[6] Finite-time tracking using sliding mode control [J].

Ghasemi, Masood ;

Nersesov, Sergey G. ;

Clayton, Garrett .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (05) :2966-2990

[7] Finite-time coordination in multiagent systems using sliding mode control approach [J].

Ghasemi, Masood ;

Nersesov, Sergey G. .

AUTOMATICA, 2014, 50 (04) :1209-1216

[8] Asymptotically stable walking for biped robots: Analysis via systems with impulse effects [J].

Grizzle, JW ;

Abba, G ;

Plestan, F .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (01) :51-64

[9] Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control [J].

He, Wangli ;

Qian, Feng ;

Cao, Jinde .

NEURAL NETWORKS, 2017, 85 :1-9

[10]

He X., 2017, IEEE T SYST MAN CYB, V99, P1

← 1 2 3 4 →