Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium

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

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

5 Citations (Scopus)

Abstract

In this paper, we consider robust stability and in- stability of an uncertain nonlinear system with an uncertainty- dependent equilibrium. In conventional approaches to the analysis, it is assumed that the location of the equilibrium in the nonlinear system is not shifted by the uncertainty and then the robustness is discussed. However, the assumption does not hold for general nonlinear systems. We consider nonlinear feedback systems with dynamic uncertainties and propose robust stability and instability analysis methods for such systems by treating the uncertainty-dependent equilibrium. Finally, an illustrative example for stability and instability analysis of an uncertain genetic network model is presented.

Original languageEnglish
Title of host publication2014 European Control Conference, ECC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1486-1491
Number of pages6
ISBN (Electronic)9783952426913
DOIs
Publication statusPublished - 2014 Jul 22
Externally publishedYes
Event13th European Control Conference, ECC 2014 - Strasbourg, France
Duration: 2014 Jun 242014 Jun 27

Publication series

Name2014 European Control Conference, ECC 2014

Other

Other13th European Control Conference, ECC 2014
CountryFrance
CityStrasbourg
Period14/6/2414/6/27

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Inoue, M., Arai, T., Imura, J. I., Kashima, K., & Aihara, K. (2014). Obust stability and instability of nonlinear feedback system with uncertainty-dependent equilibrium. In 2014 European Control Conference, ECC 2014 (pp. 1486-1491). [6862228] (2014 European Control Conference, ECC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2014.6862228