| Reference : Global State Synchronization in Networks of Cyclic Feedback Systems |
| Scientific journals : Article | |||
| Engineering, computing & technology : Multidisciplinary, general & others | |||
| http://hdl.handle.net/10993/20309 | |||
| Global State Synchronization in Networks of Cyclic Feedback Systems | |
| English | |
Hamadeh, Abdullah  [] | |
| Stan, Guy-Bart [] | |
| Sepulchre, Rodolphe [] | |
| Goncalves, Jorge [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >] | |
| Feb-2012 | |
| IEEE Transactions on Automatic Control | |
| IEEE | |
| 57 | |
| 2 | |
| 478 - 483 | |
| Yes (verified by ORBilu) | |
| 0018-9286 | |
| Piscataway | |
| NJ | |
| [en] Incremental dissipativity ; networks of cyclic feedback biochemical oscillators ; synchrony analysis | |
| [en] This technical note studies global asymptotic state synchronization
in networks of identical systems. Conditions on the coupling strength required for the synchronization of nodes having a cyclic feedback structure are deduced using incremental dissipativity theory. The method takes advantage of the incremental passivity properties of the constituent subsystems of the network nodes to reformulate the synchronization problem as one of achieving incremental passivity by coupling. The method can be used in the framework of contraction theory to constructively build a contracting metric for the incremental system. The result is illustrated for a network of biochemical oscillators. | |
| http://hdl.handle.net/10993/20309 | |
| 10.1109/TAC.2011.2164015 |
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