Reachability and controllability of discrete time descriptor systems

The causal and non-causal reachability Gramians are used, in order to define the reachability subspace which is the set of all states reachable from the origin. Controllability of the disrete-time regular descriptor system by means of the forward solution is examined and new criteria for testing reachability (controllability from the origin) and controllability to the origin in the forward sense are proved.

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