Nonnegative realization of a linear system with nonnegative impulse response
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Anderson, Brian D.O.
Deistler, Manfred
Farina, Lorenzo
Benvenuti, Luca
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Let H (z) be a rational transfer function with associated nonnegative impulse response sequence. The paper considers the question: When does there exist a triple A ε R NXA b ε R N c ε R N with all nonnegative entries and H(z) = c′(zI - A) -1b? An essentially complete characterization is given of the H(z') allowing such a realization in terms of the location of the pole or poles of H(z) with maximum modulus.
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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
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