Uniqueness of solutions of linear relay systems

In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two di erent solution concepts, Filippov solutions and forward solutions. We derive necessary and su cient 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

• Type: Journal
• Year: 1999
• Where: AUTOMATICA
• Authors: Y. J. Lootsma, A. J. van der Schaft, M. K. Çamlibel
• Keywords: AUTOMATICA 1999, Linear Relay Systems, Relative Degree, Solutions