Title : Model Reduction of Periodic Descriptor Systems Using Balanced Truncation


Authors : P. Benner, M. Sahadet Hossain and T. Stykel

Abstract : Linear periodic descriptor systems represent a broad class of time evolutionary processes in micro-electronics and circuit simulation. In this paper, we consider discrete-time linear periodic descriptor systems and study the concepts of periodic reachability and observability Gramians. We also discuss a lifted representation of periodic descriptor systems and propose a balanced truncation model reduction method for such systems.The behaviour of the suggested model reduction technique is illustrated using a numerical example.


Journal : Volume : Year : 2011 Issue :
Pages : 193-206 City : Dordrecht Edition : Editors : Peter Benner, Michael Hinze, E. Jan W. ter Maten
Publisher : Springer, The Netherlands ISBN : Book : Lecture Notes in Electrical Engineering Chapter : 11
Proceeding Title : Institution : Issuer : Number :