Abstract
We consider the robust stability of time-varying linear systems subject to structured time-varying uncertainty. We provide an alternate proof of the result that robust stability holds if and only if a scaled small-gain condition holds asymptotically. The new proof employs an extension of the so-called S-procedure losslessness theorem to time-varying quadratic forms which is of independent interest.
Original language | English (US) |
---|---|
Pages (from-to) | 13-17 |
Number of pages | 5 |
Journal | Systems and Control Letters |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - Jan 9 1995 |
Externally published | Yes |
Keywords
- Quadratic forms
- Robust stability
- Structured uncertainty
- Time-varying systems
ASJC Scopus subject areas
- Control and Systems Engineering
- General Computer Science
- Mechanical Engineering
- Electrical and Electronic Engineering