Open AccessTwo classes of passive time-varying well-posed linear systems
Author(s) -
Roland Schnaubelt,
George H. Weiss
Publication year - 2010
Publication title -
mathematics of control signals and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.856
H-Index - 39
eISSN - 1435-568X
pISSN - 0932-4194
DOI - 10.1007/s00498-010-0049-0
Subject(s) - semigroup , linear system , lti system theory , mathematics , scattering , control theory (sociology) , mathematical analysis , computer science , physics , control (management) , artificial intelligence , optics
We investigate two classes of time-varying well-posed linear sys- tems. Starting from a time-invariant scattering-passive system, each of the time-varying systems is constructed by introducing a time-dependent inner product on the state space and modifying some of the generating operators. These classes of linear systems are motivated by physical examples such as the electromagnetic eld around a moving object. To prove the well-posedness of
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