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

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

doi:10.1093/ietfec/e90-a.2.415

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

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

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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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.2 pp.415-418

Publication Date: 2007/02/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e90-a.2.415

Type of Manuscript: Special Section LETTER (Special Section on Analog Circuit Techniques and Related Topics)

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Chia-Chi CHU, Ming-Hong LAI, Wu-Shiung FENG, "Lyapunov-Based Error Estimations of MIMO Interconnect Reductions by Using the Global Arnoldi Algorithm" in IEICE TRANSACTIONS on Fundamentals, vol. E90-A, no. 2, pp. 415-418, February 2007, doi: 10.1093/ietfec/e90-a.2.415.
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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.2.415/_p

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@ARTICLE{e90-a_2_415,
author={Chia-Chi CHU, Ming-Hong LAI, Wu-Shiung FENG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Lyapunov-Based Error Estimations of MIMO Interconnect Reductions by Using the Global Arnoldi Algorithm},
year={2007},
volume={E90-A},
number={2},
pages={415-418},
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.},
keywords={},
doi={10.1093/ietfec/e90-a.2.415},
ISSN={1745-1337},
month={February},}

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TY - JOUR
TI - Lyapunov-Based Error Estimations of MIMO Interconnect Reductions by Using the Global Arnoldi Algorithm
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 415
EP - 418
AU - Chia-Chi CHU
AU - Ming-Hong LAI
AU - Wu-Shiung FENG
PY - 2007
DO - 10.1093/ietfec/e90-a.2.415
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2007
AB - 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.
ER -