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·
Defining the singular symmetric systems and singular state-space symmetric system, their fixed polynomials are analysed. Then, the criterion for the existence of finite fixed modes of the singular systems with symmetric structure is investigated by way of analyzing the relation of inequality of matrix rank, with the relation between uncontrollable and unobservable modes given. A new solution is thus given to the finite fixed modes. The results show that any of the sets of finite fixed modes in singular symmetric systems is composed of all the finite uncontrollable and unobservable modes. Compared with the results known before, the method proposed is more effective and simpler.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第7期629-632,共4页
Journal of Northeastern University(Natural Science)
基金
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).
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
singular symmetric systems
finite fixed modes
decentralized control
controllable modes
observable modes
