Distributed discrete-time nonlinear consensus protocols

Jing Zhou, Qian Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages4759-4764
Number of pages6
DOIs
StatePublished - Dec 1 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

Fingerprint

Semistability
Discrete-time
Topology
Weighted Networks
Consensus Problem
Convergence Condition
Convergence Results
Continuum
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

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). [5400537] https://doi.org/10.1109/CDC.2009.5400537
Zhou, Jing ; Wang, Qian. / Distributed discrete-time nonlinear consensus protocols. Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009. 2009. pp. 4759-4764
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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., 5400537, 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. 2009. p. 4759-4764 5400537.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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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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. 2009. p. 4759-4764. 5400537 https://doi.org/10.1109/CDC.2009.5400537