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Well‐posedness and Conservativity for Linear Control Systems (Part 1)
Author(s) -
Picard Rainer,
Trostorff Sascha,
Waurick Marcus
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210377
Subject(s) - hilbert space , class (philosophy) , operator (biology) , control (management) , mathematics , linear operators , computer science , pure mathematics , mathematical analysis , artificial intelligence , biology , biochemistry , repressor , transcription factor , gene , bounded function
Abstract We discuss a class of linear control systems in a Hilbert space setting. The aim is to show that these control systems fit in a particular class of evolutionary equations such that the discussion of well‐posedness becomes easily accessible. We exemplify our findings by a system with unbounded control and observation operator. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)