caa a22 4500 445868538 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00498-011-0068-5 doi (NATIONALLICENCE)springer-10.1007/s00498-011-0068-5 Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems [Elektronische Daten] [Ruth Curtain, Mark Opmeer] We solve the problem of robust stabilization with respect to right-coprime factor perturbations for irrational discrete-time transfer functions. The key condition is that the associated dynamical system and its dual should satisfy a finite-cost condition so that two optimal cost operators exist. We obtain explicit state space formulas for a robustly stabilizing controller in terms of these optimal cost operators and the generating operators of the realization. Along the way we also obtain state space formulas for Bezout factors. Springer-Verlag London Limited, 2011 Robust stabilization nationallicence Irrational transfer functions nationallicence Infinite-dimensional linear systems nationallicence Normalized coprime factorizations nationallicence Bezout factors nationallicence Curtain Ruth University of Groningen, Groningen, The Netherlands aut Opmeer Mark University of Bath, Bath, UK aut Mathematics of Control, Signals, and Systems Springer-Verlag 23/1-3(2011-12-01), 101-115 0932-4194 23:1-3<101 2011 23 498 https://doi.org/10.1007/s00498-011-0068-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00498-011-0068-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Curtain Ruth University of Groningen, Groningen, The Netherlands aut NATIONALLICENCE 700 1- Opmeer Mark University of Bath, Bath, UK aut NATIONALLICENCE 773 0- Mathematics of Control, Signals, and Systems Springer-Verlag 23/1-3(2011-12-01), 101-115 0932-4194 23:1-3<101 2011 23 498 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer