Absolute instability of Lur'e systems and its application to oscillation analysis of uncertain genetic networks

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

研究成果: Article査読

抄録

Summary We derive instability criteria for Lur'e systems with sector-bounded nonlinearities and uncertain external signals. First, we define absolute instability of an equilibrium and derive an absolute instability condition for a fixed equilibrium point in terms of a linear matrix inequality, which is analogous to the well-known circle stability criterion. Then, the condition is extended to a parametric absolute instability condition, which is applicable to the instability test of a Lur'e system with an equilibrium point whose location is affected by uncertain nonlinearities and uncertain external signals. Finally, we show that the proposed analysis method is useful through the oscillation analysis of an uncertain genetic network model.

本文言語English
ページ(範囲)3746-3762
ページ数17
ジャーナルInternational Journal of Robust and Nonlinear Control
25
18
DOI
出版ステータスPublished - 2015 12 1

ASJC Scopus subject areas

  • 制御およびシステム工学
  • 化学工学(全般)
  • 生体医工学
  • 航空宇宙工学
  • 機械工学
  • 産業および生産工学
  • 電子工学および電気工学

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