Finite time stability of nonlinear impulsive systems and its applications in sampled-data systems

被引：41

作者：

Lee, Liming ^{[1
]}

Liu, Yang ^{[1
]}

Liang, Jinling ^{[2
,3
]}

Cai, Xiushan ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[3] King Abdulaziz Univ, Fac Engn, CNS Res Grp, Jeddah 21589, Saudi Arabia

来源：

ISA TRANSACTIONS | 2015年 / 57卷

基金：

中国国家自然科学基金;

关键词：

Finite time stability; Sampled-data system; Nonlinear system; Impulse; SWITCHED LINEAR-SYSTEMS; AVERAGE DWELL TIME; OUTPUT-FEEDBACK; EXPONENTIAL STABILITY; UNCERTAIN SYSTEMS; VARYING SYSTEMS; STABILIZATION; DELAY; SYNCHRONIZATION; NETWORKS;

D O I：

10.1016/j.isatra.2015.02.001

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 establish finite time stability (FTS) criteria for the nonlinear impulsive systems. By using a new concept called average impulse interval (AII), less conservative conditions are obtained for the FTS problem on the impulsive systems. Then we consider the linear time-invariant sampled-data systems by modeling such systems as linear impulsive systems. It is proved that when the AII of a sequence of impulsive signals zeta is equal tau(alpha), the upper bound of the impulsive intervals could be very large, while the lower bound of the impulsive intervals could be also small enough. The obtained results are less conservative than the ones in the literature obtained for variable sampling intervals. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.

引用

页码：172 / 178

页数：7

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