Behavioral Controllability of Delay-Differential Systems
Behavioral Controllability of Delay-Differential Systems
复制标题
时滞微分系统的行为可控性
DOI：
10.1137/s0363012995283054
复制
发表时间：
1997
影响因子：
2.2
通讯作者：
J. Willems
中科院分区：
文献类型：
--
作者：
P. Rocha;J. Willems
本文证明了由时滞微分方程$R（d/dt，\Delta）w=0$（其中$\Delta$为单位时滞算子）描述的系统是可控的当且仅当$R（\lambda，e^{-\lambda}）$的秩对{\bkC}$中的所有$\lambda \都是常数。这个条件与现有的结果进行了比较，通过分析方法和代数方法延迟微分系统。
In this paper we will prove that the system described by the delay-differential equation $R(d/dt,\Delta)w=0$ (with $\Delta$ the unit delay operator) is controllable if and only if the rank of $R(\lambda,e^{-\lambda})$ is constant for all $\lambda \in {\bkC}$. This condition is compared with the existing results obtained both by the analytic approach and by the algebraic approach to delay-differential systems.