Identity Between Bounded Real and Positive Real Characteristic Values Through the Scattering Relation
Abstract
In this paper, new results regarding the identity that occurs between the characteristic values of the scattering matrixS(s) and the characteristic values of the corresponding impedance matrixZ(s) are provided. The results allow us to obtain reduced-order models with similar approximation degree, considering both the approximation ofS(s) and of the modelZ(s). Even if the computation of the impedance matrix is more immediate, in many cases, the scattering systemsS(s) are considered; therefore, in order to avoid different information degradation between the two reduced-order systems, they must be consistent. Numerical examples regarding both electrical networks and multi-port mechanical systems are discussed.
Fields of Study & Subjects
Advanced Banach Space Theory
Mathematical and Theoretical Analysis
Advanced Topology and Set Theory
Publication details
- Journal / source
- IEEE Access
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Volume
- 14
- Pages
- 58248–58261
- Publication date
- 1 January 2026
- Language
- EN