Abstract
This paper deals with the stability analysis, as well the synthesis design for positive linear systems subject to random Markovian switching. The proposed stabilizing control laws are required to preserve the positivity of the system, that is the state variable take nonnegative values whenever the initial state is nonnegative. For this kind of systems, different notions of stochastic stability are defined and it is shown that they are all equivalent. Moreover, all the provided conditions are necessary and sufficient. Beside that, it is shown how the proposed approach can handle the case when the Markovian switching process is not exactly know.
| Original language | English (US) |
|---|---|
| Title of host publication | 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09 - Proceedings |
| Pages | 138-143 |
| Number of pages | 6 |
| Volume | 3 |
| Edition | PART 1 |
| State | Published - 2009 |
| Externally published | Yes |
| Event | 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09 - Zaragoza, Spain Duration: Sep 16 2009 → Sep 18 2009 |
Other
| Other | 3rd IFAC Conference on Analysis and Design of Hybrid Systems, ADHS'09 |
|---|---|
| Country/Territory | Spain |
| City | Zaragoza |
| Period | 09/16/09 → 09/18/09 |
Keywords
- Jump linear system
- Linear matrix inequality
- Markovian process
- Robust stability
ASJC Scopus subject areas
- Control and Systems Engineering