Abstract
This paper addresses the asymptotic and mean square stability of a class of linear stochastic hybrid systems. The systems of interest are composed of a high-level supervisor that drives a closed-loop jump linear system using an external Markovian input and a performance measure of the closed-loop system. Two new testable sufficient conditions for the asymptotic and mean square stability of these so-called hybrid jump linear systems with performance map are introduced. The first condition is also sufficient to determine the asymptotic stability of a deterministic switched system under arbitrary switching. A new testable necessary condition for the asymptotic stability of switched systems is also introduced.
| Original language | English |
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| Title of host publication | Proceedings of the 2005, American Control Conference, 2005. |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 569-574 |
| Number of pages | 6 |
| ISBN (Electronic) | 0-7803-9099-7 |
| ISBN (Print) | 0-7803-9098-9 |
| DOIs | |
| Publication status | Published - 1 Aug 2005 |
| Externally published | Yes |
| Event | 2005 American Control Conference (ACC 2005), June 8-10, 2005, Portland, OR, USA - Portland, OR, USA, Portland, OR, United States Duration: 8 Jun 2005 → 10 Jun 2005 |
Conference
| Conference | 2005 American Control Conference (ACC 2005), June 8-10, 2005, Portland, OR, USA |
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| Abbreviated title | ACC 2005 |
| Country/Territory | United States |
| City | Portland, OR |
| Period | 8/06/05 → 10/06/05 |
Keywords
- Asymptotic stability
- Linear systems
- System testing
- Stochastic systems
- Switched systems
- Sufficient conditions
- Stability analysis
- Automata
- Control systems
- Particle measurements