Abstract
A spectral test for the observability and reachability of linear time-invariant systems - the PBH test - is well known and serves to be a powerful characterization of these properties. In this paper it is shown that similar tests exist for linear time-varying systems involving a check over a subset of the spectrum of the weighted block shift known as the set of almost eigenvalues. These tests are then used to derive necessary and sufficient conditions for the existence of a stabilizing solution to the Riccati difference equation of quadratic optimal control.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2727-2732 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| State | Published - Dec 1 1999 |
| Externally published | Yes |
| Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization