Characterization of solutions of non-symmetric algebraic Riccati equations

被引：5
|
作者：
Dilip, A. Sanand Amita [1 ]
Pillai, Harish K. [1 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, Powai, India
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 507卷
关键词：
Non-symmetric algebraic Riccati equation; Sylvester equation; Poset; FACTORIZATION;
D O I：
10.1016/j.laa.2016.06.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new characterization of the solution set of non symmetric algebraic Riccati equations involving real matrices. Our characterization involves the use of invariant subspaces of the, coefficient matrices. We also give a poset structure on the solutions of ARE and explore some properties of this poset (partially ordered set). (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：356 / 372
页数：17
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