Name
Abstract | ||
|---|---|---|
In this paper, a nonlinear time-delay system with delayed impulses and external disturbances is considered. The robustness problem of Lp-stability with respect to impulse-delays is addressed. In order to circumvent the technical difficulties caused by delayed impulses, the impulses-delayed system is modeled as an impulse-delay free system with switching impulses by means of an augmentation method. Based on the switching structure of the augmented system, a time-dependent Lyapunov function is constructed from the original Lyapunov function for the impulse-delay free case. Then by employing the new designed Lyapunov function combined with the use of Razumikhin-type arguments, sufficient conditions for exponential stability and Lp-stability are derived. The developed results characterize the relationship among the impulse intervals, the size of impulse-delays, and the level of Lp-gain. Two numerical examples are presented to illustrate the effectiveness of the developed methodology. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.jfranklin.2020.05.028 | Journal of the Franklin Institute |
DocType | Volume | Issue |
Journal | 357 | 12 |
ISSN | Citations | PageRank |
0016-0032 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wu-Hua Chen | 1 | 869 | 58.24 |
| Jialin Chen | 2 | 0 | 0.34 |
| Xiaomei Lu | 3 | 0 | 0.68 |