Combined sequence of Markov parameters and moments in linear systems
EDMOND A. JONCKHEERE, Chengqi Ma · IEEE Transactions on Automatic Control · 1989
The combined sequence of Markov parameters and moments in linear systems is discussed. This sequence is shown to be generated by a linear feedback shift register. Application to the minimal degree partial realization from a mixture of any number of Markov parameters and moments is considered. Central in this particular realization problem is the extension of a Toeplitz partial behavior matrix. This is accomplished on the basis of the algebraic theory of Iohvidov indexes for Toeplitz matrices.>