Kwiatkowski, AndreasAndreasKwiatkowskiLichtenberg, GerwaldGerwaldLichtenbergSchild, AxelAxelSchild2023-03-012023-03-012003Hybrid systems: computation and control ; 6th international workshop HSCC 2003, Prague, Czech Republic, April 3 - 5, 2003 ; proceedings. - Berlin, 2003. - (Lecture Notes in Computer Science ; 2623). - Seite 314-327 (2003)http://hdl.handle.net/11420/14927This paper concerns the prediction of switching times for switching linear systems. The instance when a state trajectory exceeds a predefined threshold signal can be determined for input signals and time-varying thresholds without calculating the state-trajectories explicitly. This is obtained by transforming the switching conditions in the Orthogonal Function Domain of the Legendre polynomials. The problem of predicting the event time can be transposed into the problem of finding the minimal, positive and real root of a polynomial. In general, the event time can not be determined exactly, but approximated with sufficient accuracy. © Springer-Verlag Berlin Heidelberg 2003.enEvent predictionOrthogonal functionsSwitching linear systemsInformatikTechnikIngenieurwissenschaftenConference Paper10.1007/3-540-36580-x_24Other