A new necessary and sufficient condition for the simultaneous stabilization of three time-varying linear systems
A new necessary and sufficient condition for the simultaneous stabilization of three time-varying linear systems
复制标题
三个时变线性系统同时稳定的新充要条件
DOI：
10.2306/scienceasia1513-1874.2019.45.172
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发表时间：
2019
期刊：
影响因子：
1.2
通讯作者：
Lu Yufeng
中科院分区：
文献类型：
--
作者：
Liu Liu;Lu Yufeng
摘要：本文在套代数的框架下研究了三个离散时变线性系统的同时镇定问题。在传递条件下，基于强表示给出了同时镇定控制器存在的充分必要条件。在传递条件下，根据只有一个控制器的单一强表示，建立了一些同时可镇定性准则。
ABSTRACT: This paper considers the simultaneous stabilization problems of three discrete-time time-varying linear systems within the framework of nest algebra. Under the transmission condition, a necessary and sufficient condition for the existence of simultaneously stabilizing controllers is given based on the strong representation. Some simultaneous stabilizability criteria are established in terms of single strong representation of only one controller in the transmission condition.