Topological conjugacy for affine-linear flows and control systems

Fritz Colonius; Alexandre J. Santana

doi:10.3934/cpaa.2011.10.847

Article Contents

2011, Volume 10, Issue 3: 847-857. Doi: 10.3934/cpaa.2011.10.847

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Topological conjugacy for affine-linear flows and control systems

Fritz Colonius^1, and
Alexandre J. Santana^2,

1.
Institut für Mathematik, Universität Augsburg, 86135 Augsburg
2.
Departamento de Matemática, Universidade Estadual de Maringá, Maringá-PR, 87020-900

Received: February 28, 2009

Revised: August 31, 2009

Published: April 2011

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Abstract

Hyperbolic affine-linear flows on vector bundles possess unique bounded solutions on the real line. Hence they are topologically skew conjugate to their linear parts. This is used to show a classification of inhomogeneous bilinear control systems.

Keywords:

Mathematics Subject Classification: Primary: 37B55, 37N35; Secondary: 93B10.

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References

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