Super-optimal Hankel-norm approximations

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

A Hankel-norm Approach to Approximate Recursive Estimation

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)54808-9 ◽

1988 ◽

Vol 21 (9) ◽

pp. 689-694

Author(s):

A. Gombani ◽

M. Pavon

Keyword(s):

Recursive Estimation ◽

Hankel Norm

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

Estimation of the Hankel Singular Values of Fractional-Order Systems

Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C ◽

10.1115/detc2009-87289 ◽

2009 ◽

Author(s):

Jay L. Adams ◽

Robert J. Veillette ◽

Tom T. Hartley

Keyword(s):

Fractional Order ◽

Dimensional Space ◽

Ritz Method ◽

Singular Values ◽

Finite Dimensional Space ◽

Fractional Order Systems ◽

Norm Estimates ◽

Finite Dimensional ◽

Hankel Singular Values ◽

Hankel Norm

This paper applies the Rayleigh-Ritz method to approximating the Hankel singular values of fractional-order systems. The algorithm is presented, and estimates of the first ten Hankel singular values of G(s) = 1/(sq+1) for several values of q ∈ (0, 1] are given. The estimates are computed by restricting the operator domain to a finite-dimensional space. The Hankel-norm estimates are found to be within 15% of the actual values for all q ∈ (0, 1].

Optimal Hankel-norm model reductions: Multivariable systems

IEEE Transactions on Automatic Control ◽

10.1109/tac.1981.1102736 ◽

1981 ◽

Vol 26 (4) ◽

pp. 832-852 ◽

Cited By ~ 212

Author(s):

S. Kung ◽

D. Lin

Keyword(s):

Multivariable Systems ◽

Norm Model ◽

Hankel Norm

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

Hankel Norm for Nonlinear Digital Systems with Hardware Limitations and External Input

2020 National Conference on Communications (NCC) ◽

10.1109/ncc48643.2020.9056047 ◽

2020 ◽

Author(s):

Srinivasulu Jogi ◽

Priyanka Kokil

Keyword(s):

External Input ◽

Digital Systems ◽

Hankel Norm

Optimal Approximate Model Identification in the Hankel Norm

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)47865-7 ◽

1994 ◽

Vol 27 (8) ◽

pp. 1159-1163 ◽

Cited By ~ 1

Author(s):

S. Weiland ◽

A.A. Stoorvogel

Keyword(s):

Model Identification ◽

Approximate Model ◽

Hankel Norm

Optimal Hankel norm model reduction for discrete-time descriptor systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2018.11.047 ◽

2019 ◽

Vol 356 (7) ◽

pp. 4124-4143 ◽

Cited By ~ 2

Author(s):

X. Cao ◽

M.B. Saltik ◽

S. Weiland

Keyword(s):

Model Reduction ◽

Discrete Time ◽

Descriptor Systems ◽

Norm Model ◽

Hankel Norm

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