固有値に着目した2モード区分的線形システムの安定解析

  • 岩谷 靖
    東京工業大学大学院情報理工学研究科
  • 原 辰次
    東京大学大学院情報理工学系研究科

書誌事項

タイトル別名
  • On Relationship between Eigenvalue Loci and Stability in Bimodal Piecewise Linear Systems

抄録

In this paper, we consider convergence and stability analysis for bimodal piecewise linear (B-PWL) systems. We first show that a necessary and sufficient condition for the origin of 2-dimensional B-PWL systems to be globally asymptotically stable is characterized by eigenvalue loci of the corresponding subsystems. We then discuss its extension to the n dimensional case and derive a necessary condition and a sufficient condition to gurantee convergence of the state of the n-dimensional B-PWL system to the origin.

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