Abstract
This paper addresses the problem of the squaring down of LTI systems with the tools of the geometric control theory. More precisely, it is shown how a generic system can be turned into a square and invertible system by means of a state-feedback and an output-injection, and of two static units cascaded at the input and at the output of the given system. In this way, key system properties like phase-minimality, relative degree and infinite zero structure are preserved after the squaring down, and the additional invariant zeros introduced can be arbitrarily assigned in the complex plane.
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