How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance

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Observation and Control for Operator Semigroups (2009, background): “See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/255179912 Observation and Control for Operator Semigroups Book · January 2009 DOI: 10.1007/978-3-7643-8994-9 CITATIONS 430 READS 700 2 authors: Some of the authors of this publication are al”
The Cayley Transform as a Time Discretization Scheme (2007, methodology): “Operator theory techniques for proving conservativity in applications are given in Malinen, Staffans, and Weiss [ 25 ] and Tucsnak and Weiss [ 37 39 ].”
Admissibility of Control and Observation Operators for Semigroups: A Survey (2004, unknown): “[1], [5], [77].”
Well-posed linear systems a survey with emphasis on conservative systems (2001, unknown): “The proofs and further details can be found in (Tucsnak and Weiss, 2001).”
When is a linear system conservative (2006, methodology): “For certain systems, called regular systems, there is a natural candidate for D, the limit of the transfer function at +1. However, if D is obtained in this way for a conservative system, it need not satisfy D D = I or DD = I (for example, for a delay line D = 0, see [ 32, Section 7 ]).”
STABILIZATION OF SECOND ORDER EVOLUTION EQUATIONS WITH UNBOUNDED FEEDBACK WITH DELAY (2010, background): “For that purpose we closely follow [22].”