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Authors
Silviu-Iulian Niculescu; Peilin Fu; Jie Chen

Digital Object Identifier (DOI)
10.3182/20060710-3-IT-4901.00030

Page Numbers:
181-186

Index Terms
propagation,delay,stability,switches,matrix pencil

Abstract
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 semiexplicit 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.

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