Controllability and observability of linear time varying singular systems

Chi-Jo Wang
1999 IEEE Transactions on Automatic Control  
Controllability and observability of analytically solvable linear time-varying singular systems are considered. Our analysis includes the possible impulsive zero-input response. Based on the definitions of controllability and observability naturally extended from the ones adopted in the time-invariant setting, sufficient and necessary conditions for these two properties are derived. Furthermore, according to the specific definitions of these concepts used here, the authors show that the dual
more » ... ationship between controllability and observability does not hold.
doi:10.1109/9.793733 fatcat:sglpcjn4szcwrfcw6vr6dlrk2a