August, E. ; Wang, Y. ; Doyle, F. J. ; Lu, J. ; Koeppl, H. (2011)
Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling.
Proceedings of the 2011 American Control Conference.
Konferenzveröffentlichung, Bibliographie
Kurzbeschreibung (Abstract)
Understanding the mechanisms behind synchronisation of coupled systems is important in biology, chemistry, physics and engineering. For example, research on the synchronisation of coupled circadian clocks is of much importance to better understand many different disease states. Or, different applications in engineering require certificates for synchronised behaviour between the different coupled subsystems. Such systems could correspond to tethered space vehicles or to vehicles in formation flight. In this paper, we provide sufficient conditions for the synchronisation of coupled identical nonlinear dynamical systems with time delays in the coupling, which makes the modelling more realistic. Importantly, the conditions can be efficiently checked using semi-definite programming techniques, which we illustrate through applications.
| Typ des Eintrags: | Konferenzveröffentlichung |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | August, E. ; Wang, Y. ; Doyle, F. J. ; Lu, J. ; Koeppl, H. |
| Art des Eintrags: | Bibliographie |
| Titel: | Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling |
| Sprache: | Englisch |
| Publikationsjahr: | 2011 |
| Ort: | San Francisco, CA, USA |
| Verlag: | IEEE |
| Veranstaltungstitel: | Proceedings of the 2011 American Control Conference |
| URL / URN: | http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=599073... |
| Kurzbeschreibung (Abstract): | Understanding the mechanisms behind synchronisation of coupled systems is important in biology, chemistry, physics and engineering. For example, research on the synchronisation of coupled circadian clocks is of much importance to better understand many different disease states. Or, different applications in engineering require certificates for synchronised behaviour between the different coupled subsystems. Such systems could correspond to tethered space vehicles or to vehicles in formation flight. In this paper, we provide sufficient conditions for the synchronisation of coupled identical nonlinear dynamical systems with time delays in the coupling, which makes the modelling more realistic. Importantly, the conditions can be efficiently checked using semi-definite programming techniques, which we illustrate through applications. |
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Bioinspirierte Kommunikationssysteme 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik |
| Hinterlegungsdatum: | 04 Apr 2014 14:25 |
| Letzte Änderung: | 23 Sep 2021 14:32 |
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