Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three
- 作者：N.E. Barabanov
- 关键词：Stability ; Lyapunov exponent ; Joint spectral radius ; Extremal norm
- 刊名：Linear Algebra and its Applications
- 出版年：2008
- 期刊代码：38_00243795
- 类别：mt
- 出版时间：1 May 2008
- 卷：428
- 期：10
- 页码：2357-2367
- 文件大小：159 K
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.