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.
| Original language | English |
|---|---|
| Article number | 192206 |
| Pages (from-to) | 1-10 |
| Number of pages | 10 |
| Journal | Science China Information Sciences |
| Volume | 62 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 2019 |
Keywords
- average impulsive gain
- delayed impulses
- Halanay-type inequality
- hybrid impulses
- linear impulsive systems
ASJC Scopus subject areas
- General Computer Science