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Some properties of minimum phase systems and "Squared-down" systems

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1 Author(s)
E. Davison ; University of Toronto, Toronto, Ontario, Canada

It is shown that a minimum phase system implies certain properties of the system itself. In particular, a system which has equal inputs and outputs, and which is minimum phase automatically, implies that the system must be stabilizable and detectable. It is also shown that "squaring down" a system which has more inputs than outputs, to produce a system which has equal inputs and outputs, may be an undesirable procedure to carry out, in the sense that the original nonsquared system may be minimum phase, but the "squared-down" system may in fact now be nonminimum phase.

Published in:

IEEE Transactions on Automatic Control  (Volume:28 ,  Issue: 2 )