We investigate how a single node injecting noise in a quorum-sensing network can dramatically affect its convergence towards synchronization. We show that adding some white noise of sufficiently high intensity on a single node can stabilize the collective behavior of all nodes in the network towards the origin. A sketch of the proof of the convergence result is given, together with the outcome of some numerical experiments on the challenging problem of stabilizing a network of bistable systems onto a common unstable equilibrium point.
|Number of pages||5|
|Journal||IEEE Transactions on Circuits and Systems II: Express Briefs|
|Early online date||31 Mar 2018|
|Publication status||Published - May 2018|
- Complex systems,
- stochastic systems
- asymptotic stability