Relatively maximal perturbation bounds for global robustness of max‐plus linear systems

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5459 ◽

2021 ◽

Author(s):

Yingxuan Yin ◽

Yuegang Tao ◽

Cailu Wang

Keyword(s):

Linear Systems ◽

Perturbation Bounds ◽

Global Robustness

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A note on the componentwise perturbation bounds of matrix inverse and linear systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.10.065 ◽

2005 ◽

Vol 169 (2) ◽

pp. 1221-1236 ◽

Cited By ~ 3

Author(s):

Yimin Wei ◽

Yanhua Cao ◽

Hua Xiang

Keyword(s):

Linear Systems ◽

Matrix Inverse ◽

Perturbation Bounds ◽

Componentwise Perturbation

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The perturbation bounds for the solution of weighted kronecker product linear systems using thew-weighted drazin inverse

Journal of Applied Mathematics and Computing ◽

10.1007/bf02831921 ◽

2006 ◽

Vol 20 (1-2) ◽

pp. 1-16 ◽

Cited By ~ 2

Author(s):

Huaian Diao ◽

Yonglin Cao

Keyword(s):

Linear Systems ◽

Kronecker Product ◽

Drazin Inverse ◽

Perturbation Bounds ◽

Weighted Drazin Inverse

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Perturbation bounds for root-clustering of linear systems in a specified second order subregion

IEEE Transactions on Automatic Control ◽

10.1109/9.376060 ◽

1995 ◽

Vol 40 (3) ◽

pp. 473-478 ◽

Cited By ~ 4

Author(s):

W. Baker ◽

J.S. Luo ◽

A. Johnson

Keyword(s):

Linear Systems ◽

Second Order ◽

Perturbation Bounds

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Global robustness for max-plus linear systems

International Journal of Systems Science ◽

10.1080/00207721.2017.1381890 ◽

2017 ◽

Vol 48 (15) ◽

pp. 3225-3232 ◽

Cited By ~ 1

Author(s):

Cailu Wang ◽

Yuegang Tao

Keyword(s):

Linear Systems ◽

Global Robustness

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Global Robustness with q-Step Delay for Max-Plus Linear Systems

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.04.005 ◽

2020 ◽

Vol 53 (4) ◽

pp. 48-53

Author(s):

Yingxuan Yin ◽

Yuegang Tao ◽

Cailu Wang ◽

Jianguo Tan

Keyword(s):

Linear Systems ◽

Global Robustness

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Local and global robustness with q-step delay for max-plus linear systems

Discrete Event Dynamic Systems ◽

10.1007/s10626-021-00352-2 ◽

2021 ◽

Author(s):

Yingxuan Yin ◽

Yuegang Tao ◽

Cailu Wang ◽

Haiyong Chen

Keyword(s):

Linear Systems ◽

Global Robustness

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On perturbation bounds of Kronecker product linear systems and their level-2 condition numbers

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.01.014 ◽

2005 ◽

Vol 183 (1) ◽

pp. 210-231 ◽

Cited By ~ 7

Author(s):

Hua Xiang ◽

Huaian Diao ◽

Yimin Wei

Keyword(s):

Linear Systems ◽

Kronecker Product ◽

Condition Numbers ◽

Perturbation Bounds ◽

Level 2

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Comments on "Perturbation bounds for root-clustering of linear systems in a specified second order subregion"

IEEE Transactions on Automatic Control ◽

10.1109/9.489222 ◽

1996 ◽

Vol 41 (5) ◽

pp. 766-767 ◽

Cited By ~ 6

Author(s):

Sheng-Guo Wang

Keyword(s):

Linear Systems ◽

Second Order ◽

Perturbation Bounds

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Well-Posed Linear Systems

10.1017/cbo9780511543197 ◽

2005 ◽

Cited By ~ 142

Author(s):

Olof Staffans

Keyword(s):

Linear Systems ◽

Well Posed

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Principles of Linear Systems

10.1017/cbo9781139174756 ◽

1997 ◽

Cited By ~ 15

Author(s):

Philip E. Sarachik

Keyword(s):

Linear Systems

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