Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks

Masaki Inoue; Jun Ichi Imura; Kenji Kashima; Kazuyuki Aihara

Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks

Masaki Inoue, Jun Ichi Imura, Kenji Kashima, Kazuyuki Aihara

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

Abstract

In this paper, we derive some instability criteria for Lur'e -type nonlinear systems. First, we define absolute instability. Then, linear matrix inequality conditions for absolute instability are derived. The obtained conditions are analogous to well-known circle-type and Popov-type stability criteria. Finally, we evaluate the usefulness through an application to instability analysis of an uncertain genetic network model.

Original language	English
Title of host publication	2013 American Control Conference, ACC 2013
Pages	4080-4085
Number of pages	6
Publication status	Published - 2013 Sept 11
Externally published	Yes
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: 2013 Jun 17 → 2013 Jun 19

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	13/6/17 → 13/6/19

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks",

abstract = "In this paper, we derive some instability criteria for Lur'e -type nonlinear systems. First, we define absolute instability. Then, linear matrix inequality conditions for absolute instability are derived. The obtained conditions are analogous to well-known circle-type and Popov-type stability criteria. Finally, we evaluate the usefulness through an application to instability analysis of an uncertain genetic network model.",

author = "Masaki Inoue and Imura, {Jun Ichi} and Kenji Kashima and Kazuyuki Aihara",

year = "2013",

month = sep,

day = "11",

language = "English",

isbn = "9781479901777",

series = "Proceedings of the American Control Conference",

pages = "4080--4085",

booktitle = "2013 American Control Conference, ACC 2013",

note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

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TY - GEN

T1 - Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks

AU - Inoue, Masaki

AU - Imura, Jun Ichi

AU - Kashima, Kenji

AU - Aihara, Kazuyuki

PY - 2013/9/11

Y1 - 2013/9/11

N2 - In this paper, we derive some instability criteria for Lur'e -type nonlinear systems. First, we define absolute instability. Then, linear matrix inequality conditions for absolute instability are derived. The obtained conditions are analogous to well-known circle-type and Popov-type stability criteria. Finally, we evaluate the usefulness through an application to instability analysis of an uncertain genetic network model.

AB - In this paper, we derive some instability criteria for Lur'e -type nonlinear systems. First, we define absolute instability. Then, linear matrix inequality conditions for absolute instability are derived. The obtained conditions are analogous to well-known circle-type and Popov-type stability criteria. Finally, we evaluate the usefulness through an application to instability analysis of an uncertain genetic network model.

UR - http://www.scopus.com/inward/record.url?scp=84883514866&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883514866&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84883514866

SN - 9781479901777

T3 - Proceedings of the American Control Conference

SP - 4080

EP - 4085

BT - 2013 American Control Conference, ACC 2013

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -

Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks

Abstract

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ASJC Scopus subject areas

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