Minimal dynamic inverses for linear systems with arbitrary initial states
Evren Emre, Leonard M. Silverman · IEEE Transactions on Automatic Control · 1976
In this short paper the problem of finding a minimal left inverse of a linear time-invariant system for nonzero initial conditions is considered. It is shown that this problem is equivalent to finding a minimal dynamical cover. As a result of this, the minimal inverse problem can be solved immediately using the previous results on dynamic covers. No restriction other than invertibility is assumed on the original system.