东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (7): 629-632.DOI: -

• 论著 • 上一篇    下一篇

广义对称系统有穷固定模的判别

王静;张庆灵;刘万泉   

  1. 东北大学理学院;东北大学理学院;科廷大学计算机学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-07-15 发布日期:2013-06-24
  • 通讯作者: Wang, J.
  • 作者简介:-
  • 基金资助:
    辽宁省普通高校学科带头人基金资助项目(124210);;辽宁省科技厅科技基金资助项目(2001401041)·

Criterion for finite fixed modes in singular symmetric systems

Wang, Jing (1); Zhang, Qing-Ling (1); Liu, Wan-Quan (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Comp., Curtin Univ. of Technol., Perth, WA 6102, Australia
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-07-15 Published:2013-06-24
  • Contact: Wang, J.
  • About author:-
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摘要： 给出了广义对称系统和广义状态空间对称系统的定义,并对它们的固定多项式分别进行了分析;利用矩阵秩的不等式关系,研究了广义对称系统的有穷固定模的判别问题,给出了不可控模态与不可观模态的关系,并提出了一种新的求解有穷固定模的方法;结果表明,广义对称系统的有穷固定模集合由系统的所有不可控且不可观的有限模态构成·与已有结果相比,本文给出的方法更加有效且简洁·

关键词: 广义对称系统, 有穷固定模, 分散控制, 可控模态, 可观模态

Abstract: Defining the singular symmetric systems and singular state-space symmetric systems, their fixed polynomials are analyzed. The criterion for the existence of finite fixed modes of the singular systems with symmetric structure is investigated by analyzing the relation of inequality of matrix rank, and the relationship between uncontrollable and unobservable modes is obtained. A solution is thus given to the finite fixed modes. The results show that the finite fixed mode set in singular symmetric system is composed of all the finite uncontrollable and unobservable modes. Compared with the results known before, the proposed method is more effective and simpler.

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