On unanimity of nonlinear systems with coupling over coopetition networks

Shidong Zhai; Wei Xing Zheng

doi:10.1109/ISCAS45731.2020.9180447

On unanimity of nonlinear systems with coupling over coopetition networks

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

In this paper, the problem of unanimity of coupled nonlinear systems over coopetition networks is addressed. Specifically, it is investigated whether all system states of coupled nonlinear systems can reach an identical sign after a threshold of time has passed by, which is known as the unanimity. The switched nonlinear systems are considered in the case of coexistence of cooperative and competitive interactions between coupled nonlinear systems. Some conditions that ensure the unanimity of coupled nonlinear systems are derived by exploiting the properties of eventually positive matrices and Lie bracket. The efficiency of the obtained results is validated by an illustrative example.

Original language	English
Title of host publication	Proceedings of the 2020 IEEE International Symposium on Circuits and Systems (ISCAS), Virtual Conference, October 10-21, 2020
Publisher	IEEE
Number of pages	5
ISBN (Print)	9781728133201
DOIs	https://doi.org/10.1109/ISCAS45731.2020.9180447
Publication status	Published - 2020
Event	IEEE International Symposium on Circuits and Systems - Duration: 10 Oct 2020 → …

Publication series

Name
ISSN (Print)	2158-1525

Conference

Conference	IEEE International Symposium on Circuits and Systems
Period	10/10/20 → …

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© 2020 IEEE

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10.1109/ISCAS45731.2020.9180447

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title = "On unanimity of nonlinear systems with coupling over coopetition networks",

abstract = "In this paper, the problem of unanimity of coupled nonlinear systems over coopetition networks is addressed. Specifically, it is investigated whether all system states of coupled nonlinear systems can reach an identical sign after a threshold of time has passed by, which is known as the unanimity. The switched nonlinear systems are considered in the case of coexistence of cooperative and competitive interactions between coupled nonlinear systems. Some conditions that ensure the unanimity of coupled nonlinear systems are derived by exploiting the properties of eventually positive matrices and Lie bracket. The efficiency of the obtained results is validated by an illustrative example.",

author = "Shidong Zhai and Zheng, {Wei Xing}",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE; IEEE International Symposium on Circuits and Systems ; Conference date: 10-10-2020",

year = "2020",

doi = "10.1109/ISCAS45731.2020.9180447",

language = "English",

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T1 - On unanimity of nonlinear systems with coupling over coopetition networks

AU - Zhai, Shidong

AU - Zheng, Wei Xing

PY - 2020

Y1 - 2020

N2 - In this paper, the problem of unanimity of coupled nonlinear systems over coopetition networks is addressed. Specifically, it is investigated whether all system states of coupled nonlinear systems can reach an identical sign after a threshold of time has passed by, which is known as the unanimity. The switched nonlinear systems are considered in the case of coexistence of cooperative and competitive interactions between coupled nonlinear systems. Some conditions that ensure the unanimity of coupled nonlinear systems are derived by exploiting the properties of eventually positive matrices and Lie bracket. The efficiency of the obtained results is validated by an illustrative example.

AB - In this paper, the problem of unanimity of coupled nonlinear systems over coopetition networks is addressed. Specifically, it is investigated whether all system states of coupled nonlinear systems can reach an identical sign after a threshold of time has passed by, which is known as the unanimity. The switched nonlinear systems are considered in the case of coexistence of cooperative and competitive interactions between coupled nonlinear systems. Some conditions that ensure the unanimity of coupled nonlinear systems are derived by exploiting the properties of eventually positive matrices and Lie bracket. The efficiency of the obtained results is validated by an illustrative example.

UR - https://hdl.handle.net/1959.7/uws:63259

U2 - 10.1109/ISCAS45731.2020.9180447

DO - 10.1109/ISCAS45731.2020.9180447

M3 - Conference Paper

SN - 9781728133201

BT - Proceedings of the 2020 IEEE International Symposium on Circuits and Systems (ISCAS), Virtual Conference, October 10-21, 2020

PB - IEEE

T2 - IEEE International Symposium on Circuits and Systems

Y2 - 10 October 2020

ER -

On unanimity of nonlinear systems with coupling over coopetition networks

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