Title :
Schur parametrizations and balanced realizations of real discrete-time stable all-pass systems
Author :
Olivi, Martine ; Marmorat, Jean-Paul ; Hanzon, Bernard ; Peeters, Ralf L M
Abstract :
We investigate the parametrization issue for real discrete-time stable all-pass multivariable systems by means of a real tangential Schur algorithm. A recursive construction of balanced realizations is associated with it, that possesses a very good numerical behavior. A chart selection strategy is given which makes use of the real Schur form of the dynamic matrix. Application to rational L2-approximation is considered.
Keywords :
discrete time systems; function approximation; matrix algebra; multivariable systems; rational functions; realisation theory; stability; Schur parametrizations; balanced realizations; dynamic matrix; multivariable systems; rational approximation; real discrete time systems; real tangential Schur algorithm; recursive construction; stable all-pass systems; Approximation algorithms; Econometrics; Eigenvalues and eigenfunctions; Interpolation; Linear systems; MIMO; Mathematics; Reduced order systems; Stability; Transfer functions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272546
