Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
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Robust Bifurcation Analysis of Systems with Dynamic Uncertainties
—Local Bifurcations Caused by Stability Change of Equilibrium Point
Masaki InoueTakayuki AraiJun-ichi ImuraKenji KashimaKazuyuki Aihara
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2013 Volume 26 Issue 7 Pages 225-231

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Abstract

In this paper, we consider bifurcation analysis of nonlinear uncertain dynamical systems. A concept of robust bifurcation analysis is proposed. To this end, we give robust stability and robust instability conditions for uncertain feedback systems. Then, we propose a novel method for robust bifurcation analysis of systems with dynamic uncertainties. Finally, we carry out bifurcation analysis of an uncertain gene regulatory network model as an example.

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© 2013 The Institute of Systems, Control and Information Engineers
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