Observability for hybrid systems

The notion of generic final-state asymptotically determinable hybrid system is introduced. Then, sufficient conditions for a linear hybrid system to be generic final-state asymptotically determinable are given. These conditions show that generic final-state asymptotic determinability can be verified even if each of the continuous subsystems of the hybrid system is not observable. More precisely, these conditions are related to the minimum and maximum sojourn time in each location as well as on the dimension and orientation of the unobservable subspaces and on the reset mappings between them.