D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach

Feng Wang; Pan Xiong; Jian Chen; Li Shi; Xi Bin Cao

doi:10.1109/ICIEA.2012.6360822

D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach

Feng Wang^*
, Pan Xiong
, Jian Chen
, Li Shi
, Xi Bin Cao

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.

Original language	English
Title of host publication	Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012
Pages	737-742
Number of pages	6
DOIs	https://doi.org/10.1109/ICIEA.2012.6360822
State	Published - 2012
Event	2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012 - Singapore, Singapore Duration: 18 Jul 2012 → 20 Jul 2012

Publication series

Name	Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012

Conference

Conference	2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012
Country/Territory	Singapore
City	Singapore
Period	18/07/12 → 20/07/12

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10.1109/ICIEA.2012.6360822

Cite this

Wang, F., Xiong, P., Chen, J., Shi, L., & Cao, X. B. (2012). D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach. In Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012 (pp. 737-742). Article 6360822 (Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012). https://doi.org/10.1109/ICIEA.2012.6360822

@inproceedings{d232532edbcb4e5a8e91eac7c2676b89,

title = "D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach",

abstract = "New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.",

author = "Feng Wang and Pan Xiong and Jian Chen and Li Shi and Cao, \{Xi Bin\}",

year = "2012",

doi = "10.1109/ICIEA.2012.6360822",

language = "英语",

isbn = "9781457721175",

series = "Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012",

pages = "737--742",

booktitle = "Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012",

note = "2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012 ; Conference date: 18-07-2012 Through 20-07-2012",

}

Wang, F, Xiong, P, Chen, J, Shi, L & Cao, XB 2012, D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach. in Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012., 6360822, Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012, pp. 737-742, 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012, Singapore, Singapore, 18/07/12. https://doi.org/10.1109/ICIEA.2012.6360822

D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach. / Wang, Feng; Xiong, Pan; Chen, Jian et al.
Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012. 2012. p. 737-742 6360822 (Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach

AU - Wang, Feng

AU - Xiong, Pan

AU - Chen, Jian

AU - Shi, Li

AU - Cao, Xi Bin

PY - 2012

Y1 - 2012

N2 - New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.

AB - New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.

UR - https://www.scopus.com/pages/publications/84871679946

U2 - 10.1109/ICIEA.2012.6360822

DO - 10.1109/ICIEA.2012.6360822

M3 - 会议稿件

AN - SCOPUS:84871679946

SN - 9781457721175

T3 - Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012

SP - 737

EP - 742

BT - Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012

T2 - 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012

Y2 - 18 July 2012 through 20 July 2012

ER -

Wang F, Xiong P, Chen J, Shi L, Cao XB. D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach. In Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012. 2012. p. 737-742. 6360822. (Proceedings of the 2012 7th IEEE Conference on Industrial Electronics and Applications, ICIEA 2012). doi: 10.1109/ICIEA.2012.6360822

D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach

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