Stabilizing quorum-sensing networks via noise

Marianna Rotoli; Giovanni Russo; Mario Di Bernardo

doi:10.1109/TCSII.2018.2820815

Stabilizing quorum-sensing networks via noise

Marianna Rotoli
, Giovanni Russo
, Mario Di Bernardo

Research output: Contribution to journal › Article (Academic Journal) › peer-review

3 Citations (Scopus)

395 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	647-651
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	65
Issue number	5
Early online date	31 Mar 2018
DOIs	https://doi.org/10.1109/TCSII.2018.2820815
Publication status	Published - May 2018

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

Complex systems,
stochastic systems
asymptotic stability

Access to Document

10.1109/TCSII.2018.2820815

Full-text PDF (accepted author manuscript)
This is the author accepted manuscript (AAM). The final published version (version of record) is available online via IEEE at https://ieeexplore.ieee.org/document/8327879/. Please refer to any applicable terms of use of the publisher.
Accepted author manuscript, 546 KB

Handle.net

Persistent link

Cite this

@article{1ef99774dbd0432ba3b5969b600e080f,

title = "Stabilizing quorum-sensing networks via noise",

abstract = "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.",

keywords = "Complex systems,, stochastic systems, asymptotic stability",

author = "Marianna Rotoli and Giovanni Russo and \{Di Bernardo\}, Mario",

year = "2018",

month = may,

doi = "10.1109/TCSII.2018.2820815",

language = "English",

volume = "65",

pages = "647--651",

journal = "IEEE Transactions on Circuits and Systems II: Express Briefs",

issn = "1549-7747",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

number = "5",

}

TY - JOUR

T1 - Stabilizing quorum-sensing networks via noise

AU - Rotoli, Marianna

AU - Russo, Giovanni

AU - Di Bernardo, Mario

PY - 2018/5

Y1 - 2018/5

N2 - 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.

AB - 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.

KW - Complex systems,

KW - stochastic systems

KW - asymptotic stability

U2 - 10.1109/TCSII.2018.2820815

DO - 10.1109/TCSII.2018.2820815

M3 - Article (Academic Journal)

SN - 1549-7747

VL - 65

SP - 647

EP - 651

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 5

ER -

Stabilizing quorum-sensing networks via noise

Abstract

Research Groups and Themes

Keywords

Access to Document

Handle.net

Fingerprint

Cite this