Abstract
This paper addresses the stability problem of a class of nonlinear switched systems with partitioned state-space and state-dependent switching. In lieu of the Caratheodory solutions, the general Filippov solutions are considered. This encapsulates solutions with infinite switching in finite time. Based on the theory of differential inclusions, a Lyapunov stability theorem is brought forward. These results are also extended to autonomous switched systems subject to polytopic uncertainty. Furthermore, the proposed stability theorems are reformulated using the sum of squares decomposition method which provides sufficient means to construct the corresponding Lyapunov functions via available semi-definite programming techniques.
| Original language | English |
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| Title of host publication | 7th IFAC Symposium on Robust Control Design |
| Number of pages | 7 |
| Volume | 7 |
| Publisher | Elsevier |
| Publication date | 2012 |
| Pages | 288-293 |
| ISBN (Print) | 978-3-902823-03-8 |
| DOIs | |
| Publication status | Published - 2012 |
| Event | 7th IFAC Symposium on Robust Control Design - Aalborg, Denmark Duration: 20 Jun 2012 → 22 Jun 2012 Conference number: 7 |
Conference
| Conference | 7th IFAC Symposium on Robust Control Design |
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| Number | 7 |
| Country/Territory | Denmark |
| City | Aalborg |
| Period | 20/06/2012 → 22/06/2012 |
| Series | I F A C Workshop Series |
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| ISSN | 1474-6670 |