Title :
Necessary and sufficient conditions for passivity of descriptor systems
Author_Institution :
Jerusalem Coll. of Eng., Technion - Israel Inst. of Technol., Jerusalem, Israel
fDate :
June 30 2011-July 1 2011
Abstract :
In this talk, Descriptor Systems are discussed, i.e. linear systems whose state space characterization is singular. Necessary and sufficient spectral conditions for various notions of strict positive realness for single-input single-output descriptor systems will be given.These ensure passivity of the systems. Essentially, these conditions only require calculation of eigenvalues of a single matrix.This is a significant advantage for testing of positive realness even for regular systems characterized by transfer functions. The talk is based on a joint work with Robert Shorten and Shravan Sajja.
Keywords :
eigenvalues and eigenfunctions; linear systems; state-space methods; transfer functions; linear systems; single-input single-output descriptor systems; state space characterization; transfer functions; Educational institutions; Eigenvalues and eigenfunctions; Joints; Linear systems; Sufficient conditions; Testing; Transfer functions;
Conference_Titel :
Signals, Circuits and Systems (ISSCS), 2011 10th International Symposium on
Conference_Location :
lasi
Print_ISBN :
978-1-61284-944-7
DOI :
10.1109/ISSCS.2011.5978712
