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
Externally publishedYes
Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
Duration: 2013 Jul 172013 Jul 19

Other

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

Fingerprint

Uncertain systems
Feedback

ASJC Scopus subject areas

  • Control and Systems Engineering

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]

An instability condition for uncertain systems toward robust bifurcation analysis. / Inoue, Masaki; Imura, Jun Ichi; Kashima, Kenji; Arai, Takayuki; Aihara, Kazuyuki.

2013 European Control Conference, ECC 2013. 2013. p. 3264-3269 6669216.

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

Inoue, M, Imura, JI, Kashima, K, Arai, T & Aihara, K 2013, An instability condition for uncertain systems toward robust bifurcation analysis. in 2013 European Control Conference, ECC 2013., 6669216, pp. 3264-3269, 2013 12th European Control Conference, ECC 2013, Zurich, Switzerland, 13/7/17.
Inoue M, Imura JI, Kashima K, Arai T, Aihara K. An instability condition for uncertain systems toward robust bifurcation analysis. In 2013 European Control Conference, ECC 2013. 2013. p. 3264-3269. 6669216
Inoue, Masaki ; Imura, Jun Ichi ; Kashima, Kenji ; Arai, Takayuki ; Aihara, Kazuyuki. / An instability condition for uncertain systems toward robust bifurcation analysis. 2013 European Control Conference, ECC 2013. 2013. pp. 3264-3269
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