Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501710 | Journal of Differential Equations | 2005 | 30 Pages |
Abstract
This paper considers monotonic (or causal) homotopy between trajectories of control systems. The main result is the construction of an analogue of the simply connected covering space. The constructed covering ÎΣ,x has the structure of a manifold and satisfies the property that two trajectories are monotonic homotopic if and only if the end points of their liftings coincide.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fritz Colonius, Eyüp Kızıl, Luiz A.B. San Martin,