Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three

被引：8
|
作者：
Barabanov, N. E. [1 ]
机构：
[1] N Dakota State Univ, Dept Math, Fargo, ND 58105 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 10期
关键词：
stability; Lyapunov exponent; joint spectral radius; extremal norm;
D O I：
10.1016/j.laa.2007.10.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic properties of extremal solutions of linear inclusions of order three with zero Lyapunov exponent are investigated. Under certain conditions it is shown that all extremal solutions of such inclusions tend to the same (up to a multiplicative factor) solution, which is central symmetric. The structure of the convex set of extremal norm is studied. A number of extremal points of this set are described. (c) 2007 Elsevier Inc. All rights reserved.
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页码：2357 / 2367
页数：11
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