Model Reduction of Linear Switched Systems by Restricting Discrete   Dynamics
  We present a procedure for reducing the number of continuous states of discrete-time linear switched systems, such that the reduced system has the same behavior as the original system for a subset of switching sequences. The proposed method is expected to be useful for abstraction based control synthesis methods for hybrid systems. 
Mert Bastug and Mihaly Petreczky and Rafael Wisniewski and John Leth
cs.SY