Stability analysis for fuzzy descriptor systems

Xiaoyan Shi; Zhiwei Gao

Stability analysis for fuzzy descriptor systems

Xiaoyan Shi^*, Zhiwei Gao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.

Original language	English
Pages (from-to)	1087-1089
Number of pages	3
Journal	Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics
Volume	27
Issue number	6
Publication status	Published - Jun 2005
Externally published	Yes

Keywords

Fuzzy descriptor system
Lyapunov stability
Quadratic stability

Cite this

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title = "Stability analysis for fuzzy descriptor systems",

abstract = "The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.",

keywords = "Fuzzy descriptor system, Lyapunov stability, Quadratic stability",

author = "Xiaoyan Shi and Zhiwei Gao",

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journal = "Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics",

issn = "1001-506X",

publisher = "Chinese Institute of Electronics",

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T1 - Stability analysis for fuzzy descriptor systems

AU - Shi, Xiaoyan

AU - Gao, Zhiwei

PY - 2005/6

Y1 - 2005/6

N2 - The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.

AB - The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.

KW - Fuzzy descriptor system

KW - Lyapunov stability

KW - Quadratic stability

UR - https://www.scopus.com/pages/publications/21844444778

M3 - Article

AN - SCOPUS:21844444778

SN - 1001-506X

VL - 27

SP - 1087

EP - 1089

JO - Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics

JF - Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics

IS - 6

ER -

Stability analysis for fuzzy descriptor systems

Abstract

Keywords

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