Implicit Volterra series interpolation for model reduction of bilinear systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.09.048 ◽

2017 ◽

Vol 316 ◽

pp. 15-28 ◽

Author(s):

Mian Ilyas Ahmad ◽

Ulrike Baur ◽

Peter Benner

Keyword(s):

Model Reduction ◽

Volterra Series ◽

Bilinear Systems

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Multipoint Volterra Series Interpolation and $\mathcal{H}_2$ Optimal Model Reduction of Bilinear Systems

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/130947830 ◽

2015 ◽

Vol 36 (2) ◽

pp. 549-579 ◽

Author(s):

Garret Flagg ◽

Serkan Gugercin

Keyword(s):

Model Reduction ◽

Volterra Series ◽

Bilinear Systems ◽

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Model reduction of homogeneous-in-the-state bilinear systems with input constraints

10.1016/j.automatica.2011.01.030 ◽

2011 ◽

Vol 47 (4) ◽

pp. 761-768 ◽

Author(s):

Ian J. Couchman ◽

Eric C. Kerrigan ◽

Christoph Böhm

Keyword(s):

Model Reduction ◽

Bilinear Systems ◽

The State ◽

Input Constraints

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An approach to H2, model reduction on finite interval for bilinear systems

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2017.08.037 ◽

2017 ◽

Vol 354 (16) ◽

pp. 7429-7443 ◽

Author(s):

Kang-Li Xu ◽

Yao-Lin Jiang

Keyword(s):

Model Reduction ◽

Finite Interval ◽

Bilinear Systems

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Combinatorial Approximations of Volterra Series by Bilinear Systems

Analysis of Controlled Dynamical Systems ◽

10.1007/978-1-4612-3214-8_27 ◽

1991 ◽

pp. 304-315 ◽

Author(s):

Françoise Lamnabhi-Lagarrigue ◽

Pierre Leroux ◽

Xavier G. Viennot

Keyword(s):

Volterra Series ◽

Bilinear Systems

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Model reduction of discrete-time bilinear systems by a Laguerre expansion technique

Applied Mathematical Modelling ◽

10.1016/j.apm.2016.02.015 ◽

2016 ◽

Vol 40 (13-14) ◽

pp. 6650-6662 ◽

Author(s):

Xiaolong Wang ◽

Yaolin Jiang

Keyword(s):

Model Reduction ◽

Discrete Time ◽

Bilinear Systems ◽

Laguerre Expansion ◽

Expansion Technique

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Approximate observability of infinite dimensional bilinear systems using a Volterra series expansion

Systems & Control Letters ◽

10.1016/j.sysconle.2014.11.002 ◽

2015 ◽

Vol 75 ◽

pp. 20-26 ◽

Author(s):

L.Z. Guo ◽

Y.Z. Guo ◽

S.A. Billings ◽

D. Coca

Keyword(s):

Series Expansion ◽

Volterra Series ◽

Bilinear Systems ◽

Infinite Dimensional

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Time-interval model reduction of bilinear systems

International Journal of Control ◽

10.1080/00207179.2013.875628 ◽

2014 ◽

Vol 87 (8) ◽

pp. 1487-1495 ◽

Author(s):

Hamid Reza Shaker ◽

Maryamsadat Tahavori

Keyword(s):

Model Reduction ◽

Bilinear Systems ◽

Time Interval ◽

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Model reduction of bilinear systems based on Laguerre series expansion

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2012.01.009 ◽

2012 ◽

Vol 349 (3) ◽

pp. 1231-1246 ◽

Author(s):

Xiaolong Wang ◽

Yaolin Jiang

Keyword(s):

Model Reduction ◽

Series Expansion ◽

Bilinear Systems ◽

Laguerre Series

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Model reference adaptive control of bilinear systems using Volterra series expansions

Proceedings of 35th IEEE Conference on Decision and Control ◽

10.1109/cdc.1996.577611 ◽

2002 ◽

Author(s):

S. Hanba ◽

Y. Miyasato

Keyword(s):

Adaptive Control ◽

Volterra Series ◽

Model Reference Adaptive Control ◽

Bilinear Systems ◽

Series Expansions ◽

Model Reference ◽

Model Reference Adaptive

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Krylov subspace methods for model reduction of quadratic-bilinear systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2016.0415 ◽

2016 ◽

Vol 10 (16) ◽

pp. 2010-2018 ◽

Author(s):

Mian Ilyas Ahmad ◽

Peter Benner ◽

Imad Jaimoukha

Keyword(s):

Model Reduction ◽

Krylov Subspace ◽

Krylov Subspace Methods ◽

Bilinear Systems ◽

Subspace Methods

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