Abstract
In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two different solution concepts. We derive necessary and sufficient conditions for well-posedness in the sense of Filippov of linear systems of relative degree one and two in closed loop with relay feedback. For systems of relative degree one and two it is shown that uniqueness of Filippov solutions follows if the first nonzero Markov parameter is positive. By means of an example it is shown that this result is untrue for relative degree larger than two.
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