Title
Halanay-type inequality with delayed impulses and its applications
Abstract
In this study, some properties of a novel Halanay-type inequality that simultaneously contains impulses and delayed impulses are investigated. Two concepts with respect to average impulsive gain are proposed to describe hybrid impulsive strength and hybrid delayed impulsive strength. Then, using the obtained results, two stability criteria are derived for the linear systems with impulses and delayed impulses. It is found that the stability of impulsive systems is robust with respect to delayed impulses of which the magnitude strength is relatively small. Whereas, if the impulse strength is small, the time-delayed impulses can also promote the stability of unstable systems. Two numerical examples are employed to illustrate the efficiency of our results.
Year
DOI
Venue
2019
10.1007/s11432-018-9809-y
Science China Information Sciences
Keywords
DocType
Volume
Halanay-type inequality, hybrid impulses, average impulsive gain, delayed impulses, linear impulsive systems
Journal
62
Issue
ISSN
Citations 
9
1674-733X
1
PageRank 
References 
Authors
0.35
0
3
Name
Order
Citations
PageRank
Yaqi Wang1172.52
Jianquan Lu22337116.05
Yijun Lou3316.23