SCO colloquium: Sumon Hossain

Title: Reduced realization and model reduction of switched linear systems with known switching sequence

 

Abstract: We propose a novel reduction approach for switched linear systems with a fixed mode sequence based on subspaces related to the (time-varying) reachable and unobservable spaces. These subspaces are defined in such a way that they can be used to construct a switched weak Kalman decomposition, which is then in turn used to define a reduced switched linear system with an identical input-output behavior. Then we apply a well known balanced truncation approach to each active mode of the reduced realization. The proposed method is illustrated with an example.