The Hurwitz Matrix and the Computation of second-order Information Indices

摘要: An all-pole transfer function Q(s) = 1/P(s), where P(s) is a monic Hurwitz polynomial of degree n, uniquely characterized by the energies (second-order information indices) q(t) LT −1{Q(s)} and its first n — 1 derivatives. These can be obtained solving set linear equations whose coefficients matrix standard for or using entries Routh table. Any strictly proper W(s) N(s)/P(s) first-order indices, e.g., Markov parameters, second-order related impulse response successive derivatives; these are simply obtainable from q(t). This fact exploited to construct reduced-order models that retain both first- indices given original system. The extension this approach multi-input multi-output systems described fraction analysed.