Zeros of networks of linear multi-agent systems: Time-invariant interconnections

Mohsen Zamani; Uwe Helmke; Brian D.O. Anderson

doi:10.1109/CDC.2013.6760826

Zeros of networks of linear multi-agent systems: Time-invariant interconnections

Mohsen Zamani, Uwe Helmke, Brian D.O. Anderson

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

2 Citations (Scopus)

Abstract

This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.

Original language	English
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5939-5944
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6760826
Publication status	Published - 2013
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: 10 Dec 2013 → 13 Dec 2013

Publication series

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

Conference

Conference	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	10/12/13 → 13/12/13

Access to Document

10.1109/CDC.2013.6760826

Cite this

Zamani, M., Helmke, U., & Anderson, B. D. O. (2013). Zeros of networks of linear multi-agent systems: Time-invariant interconnections. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 5939-5944). Article 6760826 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6760826

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title = "Zeros of networks of linear multi-agent systems: Time-invariant interconnections",

abstract = "This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.",

author = "Mohsen Zamani and Uwe Helmke and Anderson, \{Brian D.O.\}",

year = "2013",

doi = "10.1109/CDC.2013.6760826",

language = "English",

isbn = "9781467357173",

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note = "52nd IEEE Conference on Decision and Control, CDC 2013 ; Conference date: 10-12-2013 Through 13-12-2013",

}

Zamani, M, Helmke, U & Anderson, BDO 2013, Zeros of networks of linear multi-agent systems: Time-invariant interconnections. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6760826, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5939-5944, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 10/12/13. https://doi.org/10.1109/CDC.2013.6760826

Zeros of networks of linear multi-agent systems: Time-invariant interconnections. / Zamani, Mohsen; Helmke, Uwe; Anderson, Brian D.O.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 5939-5944 6760826 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Zeros of networks of linear multi-agent systems

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AU - Helmke, Uwe

AU - Anderson, Brian D.O.

PY - 2013

Y1 - 2013

N2 - This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.

AB - This paper investigates the zero properties of networks of linear multi-agent control systems, where the coupling parameters between the agents are assumed to be constant. We characterize the zeros both for heterogeneous and homogeneous networks. Moreover, for homogenous networks with time-invariant interconnection dynamics and SISO agents, we illustrate how zeros of each individual agent and zeros of interconnection dynamics contribute to the zero properties of the whole network. We also investigate the effects of blocking on the zeros.

UR - https://www.scopus.com/pages/publications/84902348667

U2 - 10.1109/CDC.2013.6760826

DO - 10.1109/CDC.2013.6760826

M3 - Conference Paper

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 10 December 2013 through 13 December 2013

ER -

Zeros of networks of linear multi-agent systems: Time-invariant interconnections

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