Abstract
An examination is made of large scale systems problems which have been tackled by methods associated with M-matrices and vector Lyapunov functions, and shows that the insertion of time delays into the interconnection terms will preserve exponential stability, assuming that such stability is present when no time delays exist. The key is to use new types of Lyapunov-like functions for analyzing the behavior of the delay-differential equations which are encountered. These functions allow the derivation of results for time-varying systems and systems including delay functions other than a pure delay.
| Original language | English |
|---|---|
| Pages (from-to) | 655-660 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 2 |
| Publication status | Published - 1979 |
| Event | Proc IEEE Conf Decis Control Incl Symp Adapt Processes 18th - Fort Lauderdale, FL, USA Duration: 12 Dec 1979 → 14 Dec 1979 |