A Fast Passivity Test for Stable Descriptor Systems via Skew-Hamiltonian/Hamiltonian Matrix Pencil Transformations

@article{Wong2008AFP,
  title={A Fast Passivity Test for Stable Descriptor Systems via Skew-Hamiltonian/Hamiltonian Matrix Pencil Transformations},
  author={Ngai Wong and Chung-Kwan Chu},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2008},
  volume={55},
  pages={635-643}
}
Passivity of a linear system is an important property to guarantee stable global simulation. Most circuits and interconnected systems are naturally described as descriptor systems (DSs) or singular state spaces. Passivity tests for DSs, however, are much less developed compared to their regular (nonsingular) state space counterparts. For large-scale DSs, the existing linear-matrix-inequality test is computationally prohibitive. Other system decoupling techniques involve complicated algorithms… CONTINUE READING
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