On Topological Equivalence of Linear Lows with Applications to Bilinear Control Systems期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On Topological Equivalence of Linear Lows with Applications to Bilinear Control Systems

Authors:	Victor Ayala Fritz Colonius Wolfgang Kliemann

Affiliation:	1.Departamento de Matematicas,Universidad Catolica del Norte,Antofagasta,Chile;2.Institut für Mathematik,Universit?t Augsburg,Augsburg,Germany;3.Department of Mathematics,Iowa State University,Ames Iowa,USA

Abstract:	This paper classifies continuous linear flows using concepts and techniques from topological dynamics. Specifically, the concepts of equivalence and conjugacy are adapted to flows on vector bundles, and the Lyapunov decomposition is characterized using the induced flows on the Grassmann and the flag bundles. These results are then applied to bilinear control systems, for which their behavior in $\mathbb{R}^{d}$ , on the projective space $\mathbb{P}^{{d{\text{ - 1}}}}$ , and on the Grassmannians is characterized. This research was partially supported by Proyecto FONDECYT No. 1060981 and Proyecto FONDECYT de Incentivo a la Cooperación Internacional No. 7020439.

Keywords:	and phrases" target="_blank"> and phrases Topological conjugacy linear flows bilinear control systems Grassmann graphs
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