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IMA Journal of Mathematical Control and Information 1997 14(1):45-83; doi:10.1093/imamci/14.1.45
© 1997 by Institute of Mathematics and its Applications
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Riccati equation theory for Pritchard-Salamon systems: a Popov function approach

MARTIN WEISS

Mathematics Institute, University of Groningen P. O. Box 800, 9700 AV Groningen, The Netherlands

The paper presents a general approach to Riccati equation theory for the pritchard-Salamon class of infinite-dimensional systems. It is shown how this approach applies to several important control problems as J-spectral factorization, H{infty}-control, and the Nehari problem, leading to nice extensions of some known results.


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