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Minimal dynamic inverses for linear systems with arbitrary initial states

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2 Author(s)
Emre, E. ; University of Southern California, Los Angeles, CA, USA ; Silverman, Leonard M.

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.

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Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 5 )