TY - JOUR
T1 - On topological equivalence of linear lows with applications to bilinear control systems
AU - Ayala, Victor
AU - Colonius, Fritz
AU - Kliemann, Wolfgang
PY - 2007/7
Y1 - 2007/7
N2 - 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.
AB - 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.
KW - Bilinear control systems
KW - Grassmann graphs
KW - Linear flows
KW - Topological conjugacy
UR - https://www.scopus.com/pages/publications/34548665747
U2 - 10.1007/s10883-007-9021-9
DO - 10.1007/s10883-007-9021-9
M3 - Article
AN - SCOPUS:34548665747
SN - 1079-2724
VL - 13
SP - 337
EP - 362
JO - Journal of Dynamical and Control Systems
JF - Journal of Dynamical and Control Systems
IS - 3
ER -