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 proceedingConference 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 languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages4080-4085
Number of pages6
Publication statusPublished - 2013
Externally publishedYes
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 2013 Jun 172013 Jun 19

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period13/6/1713/6/19

Fingerprint

Genes
Stability criteria
Linear matrix inequalities
Nonlinear systems

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Inoue, M., Imura, J. I., Kashima, K., & Aihara, K. (2013). Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks. In Proceedings of the American Control Conference (pp. 4080-4085). [6580465]

Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks. / Inoue, Masaki; Imura, Jun Ichi; Kashima, Kenji; Aihara, Kazuyuki.

Proceedings of the American Control Conference. 2013. p. 4080-4085 6580465.

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

Inoue, M, Imura, JI, Kashima, K & Aihara, K 2013, Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks. in Proceedings of the American Control Conference., 6580465, pp. 4080-4085, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 13/6/17.
Inoue M, Imura JI, Kashima K, Aihara K. Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks. In Proceedings of the American Control Conference. 2013. p. 4080-4085. 6580465
Inoue, Masaki ; Imura, Jun Ichi ; Kashima, Kenji ; Aihara, Kazuyuki. / Instability criteria for Lur'e systems toward oscillation analysis of uncertain gene networks. Proceedings of the American Control Conference. 2013. pp. 4080-4085
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