Article ISI SCOPUS
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS  (2007)

On topological equivalence of linear flows with applications to bilinear control systems

Ayala V.; Colonius, F; Kliemann W.

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 ℝ d, on the projective space ℙ d-1, and on the Grassmannians is characterized. © Springer Science+Business Media, LLC 2007.

Más información

Título según WOS: On topological equivalence of linear flows with applications to bilinear control systems
Título según SCOPUS: On topological equivalence of linear lows with applications to bilinear control systems
Título de la Revista: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS
Volumen: 13
Número: 3
Editorial: SPRINGER/PLENUM PUBLISHERS
Fecha de publicación: 2007
Página de inicio: 337
Página final: 362
Idioma: English
URL: http://link.springer.com/10.1007/s10883-007-9021-9
DOI:

10.1007/s10883-007-9021-9
Notas: ISI, SCOPUS