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Two dual classes of time-varying well-posed linear systems constructed from passive systems
Proceedings of the 44th IEEE Conference on Decision and Control
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We introduce two classes of well-posed linear timevarying (LTV) systems. Each of these can be constructed easily, starting from a time-invariant scattering-passive system, by introducing a time-dependent inner product on the state space and modifying some of the generating operators. These classes of LTV systems are motivated by physical examples, such as an electromagnetic field around a moving object. To prove the well-posedness of these LTV systems, we use the Lax-Phillips semigroup induced
doi:10.1109/cdc.2005.1583102
fatcat:nnhya3rajvecbbqzc52v373iq4