Reference : Global State Synchronization in Networks of Cyclic Feedback Systems
Scientific journals : Article
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Global State Synchronization in Networks of Cyclic Feedback Systems
Hamadeh, Abdullah mailto []
Stan, Guy-Bart mailto []
Sepulchre, Rodolphe mailto []
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
IEEE Transactions on Automatic Control
478 - 483
Yes (verified by ORBilu)
[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.

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