Abstract
Use is made of the gap metric to study the convergence properties of systems which are not necessarily stable. This convergence is called the 'generalized' convergence (compared to the 'normal' convergence in the norm metric for stable systems). Necessary and sufficient conditions are developed for generalized convergence, and geometrical interpretations of these conditions are provided in terms of Nyquist diagram. Several examples demonstrating the results are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 2045-2050 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| DOIs | |
| State | Published - 1985 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization