The unknown input observation problem for switching systems with dwell-time

The unknown input observation problem is considered in the framework of linear switching systems. Using ( structural geometric notions, in particular the novel notion of conditioned invariant subspace which is minimal with respect to external stabilizability, the solvability of the problem is completely characterized, both in the case of switching signals with sufficiently large dwell time and, under slightly restrictive structural conditions, in the case of switching signals with dwell time greater than a given threshold. Constructive procedures to check necessary and sufficient solvability conditions and to construct solutions, if any exists, are given.

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