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Lambert W Function Approach to Stability and Stabilization Problems for Linear Time-Delay Systems 篠崎, 寛 Shinozaki, Hiroshi open access linear time-delay systems complex-valued systems simultaneously triangularizable systems Lambert W function stability robust stability extreme point results boundary implications stabilization pole assignment decoupling control model transformations additional dynamics This thesis fully utilizes the Lambert W function to stability analysis and control of linear time-delay systems. First of all, a crucial property of this function is proven. Thanks to this property, extreme point results and boundary implications can be elucidated for robust stability of simultaneously triangularizable linear time-delay systems. As a stabilization technique, a new pole placement method is proposed using this function and a control scheme is organized combining with decoupling control. Finally, additional dynamics induced by some model transformations is analyzed by this function. 所属：大学院工芸科学研究科博士後期課程　情報・生産科学専攻；取得学位：博士（工学）; 学位授与年月日：2008-03-25 ; 証書番号：博甲第５０１号 Made available in DSpace on 2008-04-02T01:40:34Z (GMT). No. of bitstreams: 1 KOU501.PDF: 888507 bytes, checksum: f8b0503d44f4603ec47289fb622ed57b (MD5) Previous issue date: 2008-04-02 2008-03-25 eng doctoral thesis http://hdl.handle.net/10212/1613 https://kit.repo.nii.ac.jp/records/2000068 甲第501号 博士（工学） 2008-03-25 京都工芸繊維大学 https://kit.repo.nii.ac.jp/record/2000068/files/KOU501.PDF application/pdf 867.7 KB