Abstract
Based on recent works on transverse exponential stability, some necessary and sufficient conditions for the existence of a (locally) exponential synchronizer are established. We show that the existence of a structured synchronizer is equivalent to the existence of a stabilizer for the individual linearized systems (on the synchronization manifold) by a linear state feedback. This, in turns, is also equivalent to the existence of a symmetric covariant tensor field which satisfies a kind of Lyapunov inequality. Based on this property, we provide the construction of such synchronizer.
| Original language | English |
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| Title of host publication | Proc. IEEE 54th Conference on Decision and Control |
| Publisher | IEEE (The Institute of Electrical and Electronics Engineers) |
| Pages | 2981-2986 |
| Number of pages | 6 |
| ISBN (Print) | 9781479978854 |
| Publication status | Published - 15-Dec-2015 |
| Event | 2015 IEEE 54th Annual Conference on Decision and Control - Osaka, Japan Duration: 15-Dec-2015 → 18-Dec-2015 |
Conference
| Conference | 2015 IEEE 54th Annual Conference on Decision and Control |
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| Country/Territory | Japan |
| City | Osaka |
| Period | 15/12/2015 → 18/12/2015 |