Lyapunov-based error estimations of MIMO interconnect reductions by using the global arnoldi algorithm

Chia Chi Chu*, Ming Hong Lai, Wu Shiung Feng

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

5 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)415-418
Number of pages4
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
VolumeE90-A
Issue number2
DOIs
StatePublished - 02 2007

Keywords

  • Additive perturbed system
  • Global Arnoldi algorithm
  • Lyapunov equation
  • MIMO
  • Model-order reduction

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