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Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling

August, E. and Wang, Y. and Doyle, F. J. and Lu, J. and Koeppl, H. (2011):
Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling.
San Francisco, CA, USA, IEEE, In: Proceedings of the 2011 American Control Conference, [Online-Edition: http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=599073...],
[Conference or Workshop Item]

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.

Item Type: Conference or Workshop Item
Erschienen: 2011
Creators: August, E. and Wang, Y. and Doyle, F. J. and Lu, J. and Koeppl, H.
Title: Computationally implementable sufficient conditions for the synchronisation of coupled dynamical systems with time delays in the coupling
Language: English
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.

Place of Publication: San Francisco, CA, USA
Publisher: IEEE
Divisions: 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems
18 Department of Electrical Engineering and Information Technology
18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications
Event Title: Proceedings of the 2011 American Control Conference
Date Deposited: 04 Apr 2014 14:25
Official URL: http://ieeexplore.ieee.org/xpls/abs\_all.jsp?arnumber=599073...
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