Robust Bifurcation Analysis of Systems with Dynamic Uncertainties
Masaki Inoue, Takayuki Arai, Jun-ichi Imura, Kenji Kashima, Kazuyuki Aihara
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.