On solution concepts and well-posedness of linear relay systems

@article{Pogromsky2003OnSC,
  title={On solution concepts and well-posedness of linear relay systems},
  author={Alexander Yu. Pogromsky and W. P. M. H. Heemels and Henk Nijmeijer},
  journal={Automatica},
  year={2003},
  volume={39},
  pages={2139-2147}
}
In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two di5erent solution concepts, Filippov solutions and forward solutions. We derive necessary and su7cient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay feedback. To be precise, uniqueness of Filippov (and also forward) solutions follows in this case if the 9rst non-zero Markov parameter is… CONTINUE READING
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