Abstract
In this paper, the problem of robust stability of systems subject to parametric uncertainties is considered. Sufficient conditions for the existence of parameter-dependent Lyapunov functions are given in terms of a criterion which is reminiscent of but less conservative than Popov's stability criterion. It is shown how the so-called S-procedure plays a crucial role in the derivation of this criterion. A comparison with existing stability criteria is done. An equivalent frequency-domain criterion is given. Extensions to cover slowly time-varying systems and robust performance are given.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the American Control Conference |
| Pages | 968-972 |
| Number of pages | 5 |
| State | Published - Jan 1 1995 |
| Externally published | Yes |