Absolute Instability Conditions for Lur'e Systems

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  • INOUE Masaki
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • SUZUKI Masayasu
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • KASHIMA Kenji
    Graduate School of Engineering Science, Osaka University
  • IMURA Jun-ichi
    Graduate School of Information Science and Engineering, Tokyo Institute of Technology
  • AIHARA Kazuyuki
    Institute of Industrial Science, The University of Tokyo

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Other Title
  • ルーリエ系の絶対不安定条件
  • ルーリエケイ ノ ゼッタイ フアンテイ ジョウケン

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Abstract

This paper is concerned with instability analysis of Lur'e systems. First, a definition of absolute instability is introduced. Then, linear matrix inequalities and equivalent frequency domain inequalities are derived for absolute instability. They are analogous to well-known circle criteria for absolute stability.

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