Title :
Combined sequence of Markov parameters and moments in linear systems
Author :
Jonckheere, Edmund ; Ma, Chingwo
Author_Institution :
Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
3/1/1989 12:00:00 AM
Abstract :
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.<>
Keywords :
Markov processes; linear systems; matrix algebra; Iohvidov indexes; Markov moments; Markov parameters; Toeplitz matrices; linear feedback shift register; linear systems; matrix algebra; Convergence; Delay; Equations; Hydrogen; Kalman filters; Linear feedback shift registers; Linear systems; Polynomials; Power generation; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
