Abstract
The Lyapunov second method is developed for linear coupled system of delay differential and functional equations. By conventional approaches such equations may be reduced to the neutral systems and the known results for the latter may be exploited. In the present paper we introduce a new approach by constructing Lyapunov-Krasovskii functional that corresponds directly to the descriptor form of the system. Moreover, by representing a neutral system in the descriptor form we obtain new stability criteria for neutral systems which lead to less conservative than the existing results. Sufficient conditions for delay-dependent stability are given in terms of linear matrix inequalitics. Illustrative examples show the effectiveness of the method.
| Original language | English |
|---|---|
| Pages (from-to) | 2850-2855 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| State | Published - 2001 |
| Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: 4 Dec 2001 → 7 Dec 2001 |
Keywords
- Delay-dependent/delay-independent criteria
- Descriptor systems
- Linear matrix inequalities
- Stability
- Time-delay systems