Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (10): 1224-1232.

• 论文 • 上一篇    下一篇

SPECTRUM DISTRIBUTION OF THE SEDOND ORDER GENERALIZED DISTRIBUTED PARAMETER SYSTEMS

葛照强1, 朱广田2, 马勇镐3   

  1. 1. Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China;
    3. Department of Mathematics, Southwest Texas State University, Texas 78666, USA
  • 收稿日期:2001-11-13 修回日期:2003-05-09 出版日期:2003-10-18 发布日期:2003-10-18
  • 基金资助:
    the National Science Foundation USA (DMS-9406959); the Shaanxi “3.5” Talent Fund (199821)

SPECTRUM DISTRIBUTION OF THE SEDOND ORDER GENERALIZED DISTRIBUTED PARAMETER SYSTEMS

GE Zhao-qiang1, ZHU Guang-tian2, MA Yong-hao3   

  1. 1. Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China;
    3. Department of Mathematics, Southwest Texas State University, Texas 78666, USA
  • Received:2001-11-13 Revised:2003-05-09 Online:2003-10-18 Published:2003-10-18
  • Supported by:
    the National Science Foundation USA (DMS-9406959); the Shaanxi “3.5” Talent Fund (199821)

摘要: Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.

Abstract: Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system.

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