TY - GEN
T1 - Stability of linear lossless propagation systems
T2 - 6th IFAC Workshop on Time Delay Systems, TDS 2006
AU - Niculescu, Silviu-Iulian
AU - Fu, Peilin
AU - Chen, Jie
PY - 2006
Y1 - 2006
N2 - In this paper we study the stability properties of a class of lossless propagation systems. Roughly speaking, a lossless propagation model is defined by a system of semi-explicit delay differential algebraic equations, that is a system of differential equations coupled with a system of (continuous-time) difference equations. We show that the stability analysis in the commensurate delay case can be performed by computing the generalized eigenvalues of certain matrix pencils, which can be executed efficiently and with high precision. The results extend previously known work on retarded, and neutral systems, and demonstrate that similar stability tests can be derived for such systems. Copyright ©2006 IFAC.
AB - In this paper we study the stability properties of a class of lossless propagation systems. Roughly speaking, a lossless propagation model is defined by a system of semi-explicit delay differential algebraic equations, that is a system of differential equations coupled with a system of (continuous-time) difference equations. We show that the stability analysis in the commensurate delay case can be performed by computing the generalized eigenvalues of certain matrix pencils, which can be executed efficiently and with high precision. The results extend previously known work on retarded, and neutral systems, and demonstrate that similar stability tests can be derived for such systems. Copyright ©2006 IFAC.
KW - Delay
KW - Matrix pencil
KW - Propagation
KW - Stability
KW - Switches
UR - http://www.scopus.com/inward/record.url?scp=79961156924&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-79961156924&origin=recordpage
U2 - 10.3182/20060710-3-it-4901.00030
DO - 10.3182/20060710-3-it-4901.00030
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9783902661111
SP - 181
EP - 186
BT - IFAC Proceedings Volumes (IFAC-PapersOnline)
Y2 - 10 July 2006 through 12 July 2006
ER -