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.
Bibliographical noteFunding Information:
* Supported by grants from Eglin Air Force Base, NSF grants #ECS-9296074 and #ECS-9258005, and a University Research Institute Summer Research Award.
- Quadratic forms
- Robust stability
- Structured uncertainty
- Time-varying systems
ASJC Scopus subject areas
- Mechanical Engineering
- Electrical and Electronic Engineering
- Control and Systems Engineering
- Computer Science(all)