Lyapunov-Based Error Estimations of MIMO Interconnect Reductions by Using the Global Arnoldi Algorithm

Chia-Chi CHU  Ming-Hong LAI  Wu-Shiung FENG  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E90-A   No.2   pp.415-418
Publication Date: 2007/02/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e90-a.2.415
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Analog Circuit Techniques and Related Topics)
Category: 
Keyword: 
model-order reduction,  MIMO,  global Arnoldi algorithm,  Lyapunov equation,  additive perturbed system,  

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Summary: 
We present theoretical foundations about error estimations of the global Krylov subspace techniques for multiple-inputs multiple-outputs (MIMO) Interconnect reductions. Analytical relationships between Lyapunov functions of the original interconnect network and those of the reduced system generated by the global Arnoldi algorithm will be developed. Under this framework, a new moment matching reduced network is proposed. Also, we will show that the reduced system can be expressed as the original network with some additive perturbations.