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 publication2013 American Control Conference, ACC 2013
Pages4080-4085
Number of pages6
Publication statusPublished - 2013 Sep 11
Externally publishedYes
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: 2013 Jun 172013 Jun 19

Publication series

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

Other

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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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