Abstract
In this paper we consider synchronization of two identical nonlinear systems bidirectionally
coupled by a diffusive coupling with time-delay. Firstly, we show using the small-gain theorem that trajectories of any strictly semi-passive systems converge to a bounded region. Next using this result, we derive a condition for synchronization of the systems by the Lyapunov-Krasovskii theorem. Finally we illustrate the effectiveness of the derived conditions with a numerical example.
| Original language | English |
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| Title of host publication | Proceedings of the 49th Japan Joint Automatic Control Conference, 25-26 November 2006, Kobe, Japan |
| Place of Publication | Japan, Kobe |
| Pages | 4- |
| Publication status | Published - 2006 |