Abstract
A necessary and sufficient condition is presented for the minimality of uncertain systems represented by a Linear Fractional Transformation (LFT) on repeated scalar time-varying operators. This condition generalizes the role of controllability and observability gramians, and is expressed in terms of singular solutions to a pair of Linear Matrix Inequalities (LMIs). Recent results on S-procedure losslessness for Integral Quadratic Constraints (IQCs) play a key role in these results.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3068-3073 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| State | Published - 1994 |
| Externally published | Yes |
| Event | Proceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl Duration: Mar 27 1995 → Mar 29 1995 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization