An Efficient Projector-Based Passivity Test for Descriptor Systems

Abstract--An efficient passivity test based on canonical projector techniques is proposed for descriptor systems (DSs) widely encountered in circuit and system modeling. The test features a natural flow that first evaluates the index of a DS, followed by possible decoupling into its proper and improper subsystems. Explicit state-space formulations for respective subsystems are derived to facilitate further processing such as model order reduction and/or passivity enforcement. Efficient projector construction and a fast generalized Hamiltonian test for the properpart passivity are also elaborated. Numerical examples then confirm the superiority of the proposed method over existing passivity tests for DSs based on linear matrix inequalities or skew-Hamiltonian/Hamiltonian matrix pencils.

• Type: Journal
• Year: 2010
• Where: TCAD
• Authors: Zheng Zhang, Ngai Wong
• Keywords: Canonical Projector Techniques, Efficient Passivity Test, Passivity Tests, Software Engineering, TCAD 2010