An instability condition for uncertain systems toward robust bifurcation analysis

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

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

7 Citations (Scopus)

Abstract

In this paper, we consider instability analysis of uncertain feedback systems. First, we present an instability counterpart of the small gain stability theorem. Based on the instability theorem, we solve the problem of instability analysis for systems with dynamic uncertainties. Then, we propose a novel concept of robust bifurcation analysis. An illustrative example is presented for bifurcation analysis of uncertain genetic network models.

Original languageEnglish
Title of host publication2013 European Control Conference, ECC 2013
Pages3264-3269
Number of pages6
Publication statusPublished - 2013 Dec 1
Externally publishedYes
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: 2013 Jul 172013 Jul 19

Publication series

Name2013 European Control Conference, ECC 2013

Other

Other2013 12th European Control Conference, ECC 2013
CountrySwitzerland
CityZurich
Period13/7/1713/7/19

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Inoue, M., Imura, J. I., Kashima, K., Arai, T., & Aihara, K. (2013). An instability condition for uncertain systems toward robust bifurcation analysis. In 2013 European Control Conference, ECC 2013 (pp. 3264-3269). [6669216] (2013 European Control Conference, ECC 2013).