ACM Transactions on Mathematical Software (TOMS)
Matrix computations (3rd ed.)
Singular Control Systems
Algebraic Characterizations for Positive Realness of Descriptor Systems
SIAM Journal on Matrix Analysis and Applications
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
An efficient passivity test for descriptor systems via canonical projector techniques
Proceedings of the 46th Annual Design Automation Conference
GHM: a generalized Hamiltonian method for passivity test of impedance/admittance descriptor systems
Proceedings of the 2009 International Conference on Computer-Aided Design
Passivity test of immittance descriptor systems based on generalized Hamiltonian methods
IEEE Transactions on Circuits and Systems II: Express Briefs
Guaranteed passive balancing transformations for model order reduction
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the 16th Asia and South Pacific Design Automation Conference
Proceedings of the International Conference on Computer-Aided Design
Proceedings of the 49th Annual Design Automation Conference
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
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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.