Partial eigenvalue assignment of high order systems with time delay

被引：7
|
作者：
Wang, Xing Tao [1 ]
Zhang, Lei [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 05期
基金：
中国国家自然科学基金;
关键词：
High order systems; Partial eigenvalue assignment; Time delay; POLE ASSIGNMENT; ORTHOGONALITY;
D O I：
10.1016/j.laa.2012.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit solution to the partial eigenvalue assignment problem of high order control systems with time delay is presented. The problem is solved by a direct method without turning high order systems into the first order form. The solution can be implemented with only a partial knowledge of the eigenvalues and the corresponding eigenvectors of the matrix polynomial. Necessary and sufficient conditions for our results are proven. Numerical examples are given to illustrate the effect of the approach. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：2174 / 2187
页数：14
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