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Minimal dynamic inverses for linear systems with arbitrary initial states

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

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.

Published in:

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