A State-Space Algorithm for the Superoptimal Hankel-Norm Approximation Problem

G. D. Halikias; D. J. N. Limebeer; K. Glover

doi:10.1137/0331042

A State-Space Algorithm for the Superoptimal Hankel-Norm Approximation Problem

SIAM Journal on Control and Optimization ◽

10.1137/0331042 ◽

1993 ◽

Vol 31 (4) ◽

pp. 960-982 ◽

Cited By ~ 8

Author(s):

G. D. Halikias ◽

D. J. N. Limebeer ◽

K. Glover

Keyword(s):

State Space ◽

Approximation Problem ◽

Hankel Norm ◽

Norm Approximation

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Sub-optimal Hankel norm approximation problem: a frequency-domain approach

Systems & Control Letters ◽

10.1016/j.sysconle.2003.11.002 ◽

2004 ◽

Vol 52 (1) ◽

pp. 75-83 ◽

Cited By ~ 4

Author(s):

Orest V. Iftime ◽

Amol J. Sasane

Keyword(s):

Frequency Domain ◽

Approximation Problem ◽

Hankel Norm ◽

Frequency Domain Approach ◽

Norm Approximation

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A constructive solution to the sub-optimal Hankel norm approximation problem for a class of infinite-dimensional systems

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7799136 ◽

2016 ◽

Author(s):

O. V. Iftime

Keyword(s):

Approximation Problem ◽

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Constructive Solution ◽

Hankel Norm ◽

Norm Approximation

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On Hankel-Norm Approximation of Large-Scale Markov Chains

1991 American Control Conference ◽

10.23919/acc.1991.4791662 ◽

1991 ◽

Author(s):

Guanrong Chen ◽

Charles K. Chui ◽

Yaoqi Yu

Keyword(s):

Markov Chains ◽

Large Scale ◽

Hankel Norm ◽

Norm Approximation

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Optimal Hankel norm approximation for the Pritchard-Salamon class of non-exponentially stable infinite-dimensional systems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187) ◽

10.1109/cdc.2001.914640 ◽

2002 ◽

Cited By ~ 1

Author(s):

A.J. Sasane ◽

R.F. Curtain

Keyword(s):

Infinite Dimensional ◽

Infinite Dimensional Systems ◽

Exponentially Stable ◽

Hankel Norm ◽

Norm Approximation

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The best optimal Hankel-norm approximation of railway active wheelset models

Proceedings of the 2010 American Control Conference ◽

10.1109/acc.2010.5531581 ◽

2010 ◽

Author(s):

Jieh-Shian Young

Keyword(s):

Hankel Norm ◽

Norm Approximation

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HANKEL NORM APPROXIMATION OF A HIGHLY UNSTABLE SYSTEM

2018 5th IEEE Uttar Pradesh Section International Conference on Electrical, Electronics and Computer Engineering (UPCON) ◽

10.1109/upcon.2018.8596799 ◽

2018 ◽

Author(s):

Shashi Pandey ◽

Rahul Singh Yadav ◽

Shashi Kant Chaudhary ◽

K. G. Upadhyay ◽

S. P. Singh

Keyword(s):

Unstable System ◽

Hankel Norm ◽

Norm Approximation

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On the transformation formulas of the Hankel-norm approximation

PAMM ◽

10.1002/pamm.201710379 ◽

2017 ◽

Vol 17 (1) ◽

pp. 823-824

Author(s):

Peter Benner ◽

Steffen W. R. Werner

Keyword(s):

Hankel Norm ◽

Transformation Formulas ◽

Norm Approximation

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One-step extension approach to optimal Hankel-norm approximation and H/sup infinity /-optimization problems

10.1109/cdc.1990.203346 ◽

1990 ◽

Cited By ~ 1

Author(s):

Ciann-Dong Yang ◽

Fang Bo Yeh

Keyword(s):

Optimization Problems ◽

One Step ◽

Hankel Norm ◽

Norm Approximation

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Hankel-Norm Approximation of IIR by FIR Models: A Constructive Method

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2007.913615 ◽

2008 ◽

Vol 55 (2) ◽

pp. 586-598 ◽

Cited By ~ 5

Author(s):

Li Chai ◽

Jingxin Zhang ◽

Cishen Zhang ◽

E. Mosca

Keyword(s):

Constructive Method ◽

Hankel Norm ◽

Norm Approximation

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Direct State-Space Solutions to the Discrete-Time Hankel Norm Model Reduction Problem

1992 American Control Conference ◽

10.23919/acc.1992.4792081 ◽

1992 ◽

Author(s):

Davut Kavranoglu ◽

Maamar Bettayeb

Keyword(s):

Model Reduction ◽

State Space ◽

Discrete Time ◽

Reduction Problem ◽

Norm Model ◽

Hankel Norm

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