Abstract
In this paper, we present a novel control strategy for achieving consensus via network evolution. Namely, we associate to each edge a multi-dimensional dynamical system forced by the state mismatch of its nodes. We consider the case in which the network evolution is driven by a multi-well potential, whose wells define the possible asymptotic levels of interactions between each pair of nodes. We show that the proposed network evolution supports asymptotic consensus while leading to an emerging steady-state weighted topology. Moreover, we illustrate how a proper tuning of the potential parameters can be used to tailor the properties of this emerging topology. Finally, numerical simulations confirm the theoretical predictions as well as the viability of this approach for synchronizing nonlinear dynamical systems.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the 18th IFAC World Congress |
| Pages | 1243-1248 |
| Number of pages | 6 |
| Volume | 18 |
| Edition | PART 1 |
| DOIs | |
| State | Published - 2011 |
| Event | 18th IFAC World Congress - Milano, Italy Duration: Aug 28 2011 → Sep 2 2011 |
Other
| Other | 18th IFAC World Congress |
|---|---|
| Country | Italy |
| City | Milano |
| Period | 8/28/11 → 9/2/11 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Achieving consensus and synchronization by adapting the network topology. / DeLellis, Pietro; DiBernardo, Mario; Porfiri, Maurizio.
Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. p. 1243-1248.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Achieving consensus and synchronization by adapting the network topology
AU - DeLellis, Pietro
AU - DiBernardo, Mario
AU - Porfiri, Maurizio
PY - 2011
Y1 - 2011
N2 - In this paper, we present a novel control strategy for achieving consensus via network evolution. Namely, we associate to each edge a multi-dimensional dynamical system forced by the state mismatch of its nodes. We consider the case in which the network evolution is driven by a multi-well potential, whose wells define the possible asymptotic levels of interactions between each pair of nodes. We show that the proposed network evolution supports asymptotic consensus while leading to an emerging steady-state weighted topology. Moreover, we illustrate how a proper tuning of the potential parameters can be used to tailor the properties of this emerging topology. Finally, numerical simulations confirm the theoretical predictions as well as the viability of this approach for synchronizing nonlinear dynamical systems.
AB - In this paper, we present a novel control strategy for achieving consensus via network evolution. Namely, we associate to each edge a multi-dimensional dynamical system forced by the state mismatch of its nodes. We consider the case in which the network evolution is driven by a multi-well potential, whose wells define the possible asymptotic levels of interactions between each pair of nodes. We show that the proposed network evolution supports asymptotic consensus while leading to an emerging steady-state weighted topology. Moreover, we illustrate how a proper tuning of the potential parameters can be used to tailor the properties of this emerging topology. Finally, numerical simulations confirm the theoretical predictions as well as the viability of this approach for synchronizing nonlinear dynamical systems.
UR - http://www.scopus.com/inward/record.url?scp=84866748450&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84866748450&partnerID=8YFLogxK
U2 - 10.3182/20110828-6-IT-1002.02383
DO - 10.3182/20110828-6-IT-1002.02383
M3 - Conference contribution
SN - 9783902661937
VL - 18
SP - 1243
EP - 1248
BT - Proceedings of the 18th IFAC World Congress
ER -