A passivity checking algorithm for delay-based macromodels of lossy transmission lines

This paper presents a new algorithm for verifying passivity in macromodels of lossy multiconductor interconnects. The macromodels considered in this paper are constructed from the method of characteristics and include delay element. The new algorithm is derived from the results of a new theory that describes the necessary and sufficient conditions of positive-realness in dynamical system described by delay differential equations.