Abstract
The main goal of this technical note is to present a new sufficient condition for the stability of switched positive linear systems. This condition is general in two senses. First of all, because it applies to switching systems of order n composed of k subsystems, for any n and k. Secondly, because it applies to both discrete- and continuous-time systems. Furthermore, it is easy to verify, as it amounts to check for the stability of a certain matrix. The new condition is derived from a multidimensional system analysis, where the relation between the stability of multidimensional and switched systems is investigated. A comparison with other existing tests is also presented, showing that the one proposed here allows to infer about the stability of a system in cases where other tests fail or do not apply at all.
| Original language | English |
|---|---|
| Article number | 5559338 |
| Pages (from-to) | 2660-2664 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 55 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2010 |
Keywords
- Multidimensional systems
- positive linear systems
- stability
- switched systems