This paper presents research results of the European Community BRITE-EURAM III Thematic Networks Programme NICONET and is distributed by t h e W orking Group on Software WGS. WGS secretariat: Mrs. Ida Tassens, ESAT-Katholieke U n i v ersiteit Leuven, K. Mercierlaan 94, 3001-Leuven-Heverlee, BELGIUM. This report is also available by a n o n ymous ftp from wgs.esat.kuleuven.ac.be in the directory pub/WGS/REPORTS/nic97-3.ps.Z
In this technical note, we discuss an algorithm for the computation of the -norm of transfer functions related to descriptor systems. We show how one can achieve this goal by computing the eigenvalues of certain skew-Hamiltonian/Hamiltonian matrix pencils and analyze arising problems. We also formulate and prove a theoretical result which serves as a basis for testing a transfer function matrix for properness. Finally, we illustrate our results using a descriptor system related to mechanical engineering.
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