Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays

Xiaofeng Zong; Tao Li; Ji Feng Zhang

doi:10.1109/CDC.2018.8618969

Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays

Xiaofeng Zong, Tao Li, Ji Feng Zhang

School of Mathematical Sciences

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

3 Scopus citations

Abstract

This work is concerned with consensus control of nonlinear multi-agent systems with multiplicative noises and time-varying measurement delays. For the general time-varying delays without knowing its differentiability, a Lyapunov function and an integral version of Halanay inequality are applied to obtain the sufficient condition for mean square and almost sure consensus. For the case with the differentiable time-varying delays, a Lyapunov functional is established to get the explicit sufficient consensus conditions. Based on the sufficient conditions, the consentability conditions related to the system parameters are also introduced for the existence of consensus protocols.

Original language	English
Title of host publication	2018 IEEE Conference on Decision and Control, CDC 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5415-5420
Number of pages	6
ISBN (Electronic)	9781538613955
DOIs	https://doi.org/10.1109/CDC.2018.8618969
State	Published - 2 Jul 2018
Event	57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2018-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	57th IEEE Conference on Decision and Control, CDC 2018
Country/Territory	United States
City	Miami
Period	17/12/18 → 19/12/18

Access to Document

10.1109/CDC.2018.8618969

Cite this

Zong, X., Li, T., & Zhang, J. F. (2018). Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 5415-5420). Article 8618969 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8618969

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title = "Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays",

abstract = "This work is concerned with consensus control of nonlinear multi-agent systems with multiplicative noises and time-varying measurement delays. For the general time-varying delays without knowing its differentiability, a Lyapunov function and an integral version of Halanay inequality are applied to obtain the sufficient condition for mean square and almost sure consensus. For the case with the differentiable time-varying delays, a Lyapunov functional is established to get the explicit sufficient consensus conditions. Based on the sufficient conditions, the consentability conditions related to the system parameters are also introduced for the existence of consensus protocols.",

author = "Xiaofeng Zong and Tao Li and Zhang, \{Ji Feng\}",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 57th IEEE Conference on Decision and Control, CDC 2018 ; Conference date: 17-12-2018 Through 19-12-2018",

year = "2018",

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doi = "10.1109/CDC.2018.8618969",

language = "英语",

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Zong, X, Li, T & Zhang, JF 2018, Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8618969, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 5415-5420, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 17/12/18. https://doi.org/10.1109/CDC.2018.8618969

Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays. / Zong, Xiaofeng; Li, Tao; Zhang, Ji Feng.
2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 5415-5420 8618969 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

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

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N2 - This work is concerned with consensus control of nonlinear multi-agent systems with multiplicative noises and time-varying measurement delays. For the general time-varying delays without knowing its differentiability, a Lyapunov function and an integral version of Halanay inequality are applied to obtain the sufficient condition for mean square and almost sure consensus. For the case with the differentiable time-varying delays, a Lyapunov functional is established to get the explicit sufficient consensus conditions. Based on the sufficient conditions, the consentability conditions related to the system parameters are also introduced for the existence of consensus protocols.

AB - This work is concerned with consensus control of nonlinear multi-agent systems with multiplicative noises and time-varying measurement delays. For the general time-varying delays without knowing its differentiability, a Lyapunov function and an integral version of Halanay inequality are applied to obtain the sufficient condition for mean square and almost sure consensus. For the case with the differentiable time-varying delays, a Lyapunov functional is established to get the explicit sufficient consensus conditions. Based on the sufficient conditions, the consentability conditions related to the system parameters are also introduced for the existence of consensus protocols.

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ER -

Consensus of Nonlinear Multi-Agent Systems with Multiplicative Noises and Time-Varying Delays

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