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IMA Journal of Mathematical Control and Information 1997 14(2):207-223; doi:10.1093/imamci/14.2.207
© 1997 by Institute of Mathematics and its Applications
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The Salamon—Weiss class of well-posed infinite-dimensional linear systems: a survey

RUTH F. CURTAIN

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

The class of well-posed infinite-dimensional linear systems considered in this paper was introduced by Salamon & Weiss in the 1980s. The aim was to provide an axiomatic frame-work to formulate and solve control problems for systems described by delay and partial differential equations. In this article, this class and its system theoretic properties are described, and an overview of applications of this approach to solving a variety of control problems is given.

Keywords: infinite-dimensional systems; partial differential equations; delay equations; well-posed linear systems; regular linear systems.


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