Synchronization of dynamical networks with distributed event-based communication

Tao Liu; David J. Hill; Bin Liu

doi:10.1109/CDC.2012.6426585

Synchronization of dynamical networks with distributed event-based communication

Tao Liu^*, David J. Hill, Bin Liu

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

33 Citations (Scopus)

Abstract

In this paper, we study synchronization of a dynamical network whose nodes are linear time-invariant systems and are interconnected through a shared communication network. Firstly, synchronization of a dynamical network with physical links and undirected topology is reinvestigated from a set stability point of view. An explicit Lyapunov function with respect to its synchronization manifold is constructed for such a network by using properties of undirected networks. Based on this Lyapunov function, a distributed event-triggered sampling scheme is designed which decides when a node should send its sampled state to its neighbors across the communication network in order to achieve asymptotic synchronization of a dynamical network with communication links. The proposed triggering rule only depends on the state of the node itself and the sampled ones that are received from its neighbors.

Original language	English
Article number	6426585
Pages (from-to)	7199-7204
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426585
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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10.1109/CDC.2012.6426585

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title = "Synchronization of dynamical networks with distributed event-based communication",

abstract = "In this paper, we study synchronization of a dynamical network whose nodes are linear time-invariant systems and are interconnected through a shared communication network. Firstly, synchronization of a dynamical network with physical links and undirected topology is reinvestigated from a set stability point of view. An explicit Lyapunov function with respect to its synchronization manifold is constructed for such a network by using properties of undirected networks. Based on this Lyapunov function, a distributed event-triggered sampling scheme is designed which decides when a node should send its sampled state to its neighbors across the communication network in order to achieve asymptotic synchronization of a dynamical network with communication links. The proposed triggering rule only depends on the state of the node itself and the sampled ones that are received from its neighbors.",

author = "Tao Liu and Hill, {David J.} and Bin Liu",

year = "2012",

doi = "10.1109/CDC.2012.6426585",

language = "English",

pages = "7199--7204",

journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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T1 - Synchronization of dynamical networks with distributed event-based communication

AU - Liu, Tao

AU - Hill, David J.

AU - Liu, Bin

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N2 - In this paper, we study synchronization of a dynamical network whose nodes are linear time-invariant systems and are interconnected through a shared communication network. Firstly, synchronization of a dynamical network with physical links and undirected topology is reinvestigated from a set stability point of view. An explicit Lyapunov function with respect to its synchronization manifold is constructed for such a network by using properties of undirected networks. Based on this Lyapunov function, a distributed event-triggered sampling scheme is designed which decides when a node should send its sampled state to its neighbors across the communication network in order to achieve asymptotic synchronization of a dynamical network with communication links. The proposed triggering rule only depends on the state of the node itself and the sampled ones that are received from its neighbors.

AB - In this paper, we study synchronization of a dynamical network whose nodes are linear time-invariant systems and are interconnected through a shared communication network. Firstly, synchronization of a dynamical network with physical links and undirected topology is reinvestigated from a set stability point of view. An explicit Lyapunov function with respect to its synchronization manifold is constructed for such a network by using properties of undirected networks. Based on this Lyapunov function, a distributed event-triggered sampling scheme is designed which decides when a node should send its sampled state to its neighbors across the communication network in order to achieve asymptotic synchronization of a dynamical network with communication links. The proposed triggering rule only depends on the state of the node itself and the sampled ones that are received from its neighbors.

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DO - 10.1109/CDC.2012.6426585

M3 - Conference article

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SN - 0743-1546

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EP - 7204

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

M1 - 6426585

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Synchronization of dynamical networks with distributed event-based communication

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