Covering space for monotonic homotopy of trajectories of control systems |
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| Authors: | Fritz Colonius,Eyü p K?z?l |
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| Affiliation: | a Institut für Mathematik, Universität Augsburg, 86135 Augsburg, Germany
b Departamento de Matemática, Universidade Estadual de Campinas, Cx. Postal 6065. 13.083-859 Campinas SP, Brazil |
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| 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 Γ(Σ,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. |
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| Keywords: | 93B29 93B05 14F35 |
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