| publication name | Asymptotic stability and instability of the solutions of systems with impulse action |
|---|---|
| Authors | A. O. Ignatyeva, O. A. Ignatyevb, A. A. Solimanc |
| year | 2006 |
| keywords | |
| journal | Mathematical Notes |
| volume | 80 |
| issue | 4 |
| pages | 516–525 |
| publisher | Springer Linke |
| Local/International | International |
| Paper Link | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=mzm&paperid=2844&option_lang=eng |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we study the stability of the zero solution of a system of ordinary differential equations subject to impulse action. Using the method of Lyapunov functions, we obtain tests for asymptotic stability or instability of the system. Illustrative examples are given.