Abstract
A basic phenomenon in positive system theory is that the dimension N of an arbitrary positive realization of a given transfer function H(z) may be strictly larger than the dimension n of its minimal realizations. The aim of this brief is to provide a nontrivial lowerbound on the value of N under the assumption that there exists a time instant k/sub 0/ at which the (always nonnegative) impulse response of H(z) is 0 but the impulse response becomes strictly positive for all k>k/sub 0/. Transfer functions with this property may be regarded as extremal cases in positive system theory.
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Schedule a callMore From: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
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