Observability of Switched Linear Systems: A geometric approach

In this work, the observability of continuous-time Switched Linear Systems (SLS) is studied using a geometric approach. The approach herein presented allows representing in a common framework reported results that are based on inferring the evolving linear system from the knowledge of the continuous inputs and outputs. Also, necessary and sufficient conditions for the observability of SLS with unknown inputs are presented, which to the best of our knowledge has not been characterized so far for this class of dynamic systems.