Distributed discrete-time nonlinear consensus protocols

Jing Zhou; Qian Wang

doi:10.1109/CDC.2009.5400537

Distributed discrete-time nonlinear consensus protocols

Jing Zhou, Qian Wang

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

In this paper, we study the discrete-time nonlinear consensus protocols over both directed and undirected networks with fixed topology. First, the notions of (global/exponential) semistability are introduced for systems with a continuum of equilibria. In terms of (global/exponential) consensus defined based on the notion of semistability, we have derived convergence conditions for the general discrete-time distributed nonlinear consensus protocols over directed/undirected weighted networks. We also show that several convergence results on linear consensus problems in existing literature can be derived as special cases of our main result. In the end, a numerical example is given to illustrate our theoretical results.

Original language	English (US)
Title of host publication	Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4759-4764
Number of pages	6
ISBN (Print)	9781424438716
DOIs	https://doi.org/10.1109/CDC.2009.5400537
State	Published - 2009
Event	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China Duration: Dec 15 2009 → Dec 18 2009

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Country/Territory	China
City	Shanghai
Period	12/15/09 → 12/18/09

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2009.5400537

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Zhou, J., & Wang, Q. (2009). Distributed discrete-time nonlinear consensus protocols. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (pp. 4759-4764). Article 5400537 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2009.5400537

@inproceedings{9aee33f7f44f45e1b93e9174bb92078f,

title = "Distributed discrete-time nonlinear consensus protocols",

abstract = "In this paper, we study the discrete-time nonlinear consensus protocols over both directed and undirected networks with fixed topology. First, the notions of (global/exponential) semistability are introduced for systems with a continuum of equilibria. In terms of (global/exponential) consensus defined based on the notion of semistability, we have derived convergence conditions for the general discrete-time distributed nonlinear consensus protocols over directed/undirected weighted networks. We also show that several convergence results on linear consensus problems in existing literature can be derived as special cases of our main result. In the end, a numerical example is given to illustrate our theoretical results.",

author = "Jing Zhou and Qian Wang",

year = "2009",

doi = "10.1109/CDC.2009.5400537",

language = "English (US)",

isbn = "9781424438716",

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

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4759--4764",

booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",

address = "United States",

note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",

}

Zhou, J & Wang, Q 2009, Distributed discrete-time nonlinear consensus protocols. in Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009., 5400537, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4759-4764, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009, Shanghai, China, 12/15/09. https://doi.org/10.1109/CDC.2009.5400537

Distributed discrete-time nonlinear consensus protocols. / Zhou, Jing; Wang, Qian.
Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc., 2009. p. 4759-4764 5400537 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Wang, Qian

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N2 - In this paper, we study the discrete-time nonlinear consensus protocols over both directed and undirected networks with fixed topology. First, the notions of (global/exponential) semistability are introduced for systems with a continuum of equilibria. In terms of (global/exponential) consensus defined based on the notion of semistability, we have derived convergence conditions for the general discrete-time distributed nonlinear consensus protocols over directed/undirected weighted networks. We also show that several convergence results on linear consensus problems in existing literature can be derived as special cases of our main result. In the end, a numerical example is given to illustrate our theoretical results.

AB - In this paper, we study the discrete-time nonlinear consensus protocols over both directed and undirected networks with fixed topology. First, the notions of (global/exponential) semistability are introduced for systems with a continuum of equilibria. In terms of (global/exponential) consensus defined based on the notion of semistability, we have derived convergence conditions for the general discrete-time distributed nonlinear consensus protocols over directed/undirected weighted networks. We also show that several convergence results on linear consensus problems in existing literature can be derived as special cases of our main result. In the end, a numerical example is given to illustrate our theoretical results.

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U2 - 10.1109/CDC.2009.5400537

DO - 10.1109/CDC.2009.5400537

M3 - Conference contribution

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T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 4759

EP - 4764

BT - Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009

Y2 - 15 December 2009 through 18 December 2009

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Zhou J, Wang Q. Distributed discrete-time nonlinear consensus protocols. In Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. Institute of Electrical and Electronics Engineers Inc. 2009. p. 4759-4764. 5400537. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2009.5400537

Distributed discrete-time nonlinear consensus protocols

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