Proper stable Bezout factorizations and feedback control of linear time-delay systems†
Proper stable Bezout factorizations and feedback control of linear time-delay systems†
复制标题
线性时滞系统的适当稳定的 Bezout 分解和反馈控制†
DOI：
10.1080/00207178608933506
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发表时间：
1986
影响因子：
2.1
通讯作者：
A. Tannenbaum
中科院分区：
文献类型：
--
作者：
E. Kamen;P. Khargonekar;A. Tannenbaum
本文讨论了具有等时滞的线性定常系统传递函数矩阵的适当稳定Bezout分解的存在性和构造。因式分解的存在性以传递函数矩阵的共正则（或正则）实现的谱可控性（或谱可观测性）来表征。给出了一个计算纯时滞和分布时滞的特殊环的适当稳定Bezout分解的显式过程。该方法用于构造有限维稳定补偿器和构造分配闭环系统特征多项式的反馈系统。
This paper deals with the existence and construction of proper stable Bezout factorizations of transfer function matrices of linear time-invariant systems with commensurate time delays. Existence of factorizations is characterized in terms of spectral controllability (or spectral observability)of the co-canonical (or canonical) realization of the transfer function matrix. An explicit procedure for computing proper stable Bezout factorizations is given in terms of a specialized ring of pure and distributed time delays. This procedure is utilized to construct finite-dimensional stabilizing compensators and to construct feedback systems which assign the characteristic polynomial of the closed-loop system.