TY - JOUR
T1 - Robust bifurcation analysis of systems with dynamic uncertainties
AU - Inoue, Masaki
AU - Imura, Jun Ichi
AU - Kashima, Kenji
AU - Aihara, Kazuyuki
N1 - Funding Information:
This research is supported by the Aihara Innovative Mathematical Modelling Project, the Japan Society for the Promotion of Science (JSPS) through the Funding Program for World-Leading Innovative R&D on Science and Technology (FIRST Program), initiated by the Council for Science and Technology Policy (CSTP).
PY - 2013/9
Y1 - 2013/9
N2 - 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.
AB - 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.
KW - Bifurcation theory
KW - feedback control theory
KW - robust control theory
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U2 - 10.1142/S0218127413501575
DO - 10.1142/S0218127413501575
M3 - Article
AN - SCOPUS:84885824008
SN - 0218-1274
VL - 23
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 9
M1 - 1350157
ER -