caa a22 4500 46793214X CHVBK 20180406152946.0 cr unu---uuuuu 170328e20060301xx s 000 0 eng 10.1007/s00020-005-1401-5 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1401-5 Mikkola Kalle Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015, HUT, Finland aut Characterization of Transfer Functions of Pritchard-Salamon or Other Realizations with a Bounded Input or Output Operator [Elektronische Daten] [Kalle Mikkola] Abstract.: We show that the transfer functions that have a (continuoustime) well-posed realization with a bounded input operator are exactly those that are strong-H2 (plus constant feedthrough) over some right half-plane. The dual condition holds iff the transfer function has a realization with a bounded output operator. Both conditions hold iff the transfer function has a Pritchard-Salamon (PS) realization. A state-space variant of the PS result was proved already in [3], under the additional assumption that the weighting pattern (or impulse response) is a function (whose values are bounded operators). We illustrate by an example that this does not cover all PS systems, not even if the input and output spaces are separable. Birkhäuser Verlag, Basel, 2006 Transfer function nationallicence weighting operator pattern nationallicence impulse response nationallicence operator-valued strong H-two functions nationallicence realizations nationallicence Pritchard-Salamon systems nationallicence well-posed linear systems nationallicence bounded input operator nationallicence bounded output operator nationallicence Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/3(2006-03-01), 427-440 0378-620X 54:3<427 2006 54 20 https://doi.org/10.1007/s00020-005-1401-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1401-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mikkola Kalle Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN-02015, HUT, Finland aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 54/3(2006-03-01), 427-440 0378-620X 54:3<427 2006 54 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer