Proceeding of Domestic Conference
伊藤 大輔, 大津 智弘, 藤本 憲市, 上田 哲史, 合原 一幸, 吉永 哲哉, 最大リアプノフ指数を用いた分岐抑制制御, 計測自動制御学会, 第1回制御部門マルチシンポジウム資料, 742-745, 東京, Mar. 2014.
Abstract: Topological properties of the limit set are characterized by the Lyapunov exponent of the orbit on the dynamical system. In discrete-time dynamical system is described by ordinary differential equations, authors translate avoidance of bifurcations controlling problem of a stable fixed point, periodic point into minimization problem that the evaluation function the maximum Lyapunov exponent. The authors had proposed the controller to avoid the unbeseeming bifurcation phenomena that is caused by the variation of system parameters by change in environment. We have reported results that it is applied to the period- doubling bifurcation of the periodic point on the H enon map. In this paper, avoidance of bifurcations method is applied to the Kawakami map. We confirm that the controller can avoid the tangent bifurcation and Neimark-Sacker bifurcation.