Robust bifurcation analysis of systems with dynamic uncertainties

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we propose in uncertain dynamical systems a novel method for identifying the region that includes all possible bifurcation boundaries. First, we formulate a robust bifurcation analysis problem for parameter-dependent differential equations with dynamic uncertainties. Next, to solve this problem, we give stability and instability conditions for the uncertain system. Finally, on the basis of these conditions, we propose a method for solving the robust bifurcation analysis problem.

Original languageEnglish
Article number1350157
JournalInternational Journal of Bifurcation and Chaos
Volume23
Issue number9
DOIs
Publication statusPublished - 2013 Sep
Externally publishedYes

Keywords

  • Bifurcation theory
  • feedback control theory
  • robust control theory

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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