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 is an element of R(NXN), b is an element of R(N), c is an element of R(N) with all nonnegative entries and H(z) = c'(zI - A)(-1)b? 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.
Nonnegative realization of a linear system with nonnegative impulse response / B. D. O., Anderson; M., Deistler; Farina, Lorenzo; Benvenuti, Luca. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - 43:2(1996), pp. 134-142. [10.1109/81.486435]
Nonnegative realization of a linear system with nonnegative impulse response
FARINA, Lorenzo;BENVENUTI, Luca
1996
Abstract
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 is an element of R(NXN), b is an element of R(N), c is an element of R(N) with all nonnegative entries and H(z) = c'(zI - A)(-1)b? 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
