Abstract
We discuss topological issues that arise when differentialequations and finite automata interact (hybridsystems). In particular, we examine topologies forachieving continuity of maps from a set of measurementsof continuous dynamics to a finite set of inputsymbols and from a finite set of output symbols intothe control space for those continuous dynamics.Finding some anomalies in completing this loop,we discuss a new view of hybrid systems that maybroach them and is more in line with...

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