Abstract
A spectral test for the observability and reachability of linear time-invariant systemsthe Popov-Belevitch-Hautus test-is well known and serves as a powerful characterization of these properties. In this paper it is shown that similar tests exist for linear time-varying systems. The test presented here involves a check over a subset of the spectrum of the weighted block shift known as the set of almost eigenvalues.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1330-1345 |
| Number of pages | 16 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 37 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Controllability
- Discrete-time systems
- Exponential stability
- Observability
- Operator-theoretic methods
- Time-varying systems
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics