[1] Lin Jinxing, Fei Shumin, Shen Jiong, et al. Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach [J]. Journal of Southeast University (English Edition), 2009, 25 (2): 208-212. [doi:10.3969/j.issn.1003-7985.2009.02.014]

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Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 2

Page:

208-212

Research Field:

Automation

Publishing date:

2009-06-30

Info

Title:

Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach

Author(s):

Lin Jinxing¹;  2;  Fei Shumin¹;  2;  Shen Jiong³;  Yu Jianjiang¹;  2

¹Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University, Nanjing 210096, China
²School of Automation, Southeast University, Nanjing 210096, China
³School of Energy and Environment, Southeast University, Nanjing 210096, China

Keywords:

switched singular systems;  robust admissibility;  switched Lyapunov function;  parameter uncertainty

PACS:

TP273;N94.1

DOI:

10.3969/j.issn.1003-7985.2009.02.014

Abstract:

The robust admissibility analysis of a class of uncertain discrete-time switched linear singular(SLS)systems for arbitrary switching laws is addressed.The parameter uncertainty is assumed to be norm-bounded.First, by using the switched Lyapunov function approach, some new sufficient conditions ensuring the nominal discrete-time SLS system to be regular, casual and asymptotically stable for arbitrary switching laws are derived in terms of linear matrix inequalities.Then, the robust admissibility condition for the uncertain discrete-time SLS systems is presented.The obtained results can be viewed as an extension of previous works on the switched Lyapunov function approach from the regular switched linear systems to the switched linear singular cases.Numerical examples show the reduced conservatism and effectiveness of the proposed conditions.

References:

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Memo

Memo:

Biographies: Lin Jinxing(1978—), male, doctor;Fei Shumin(corresponding author), male, doctor, professor, smfei@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.60835001), the Key Project of Ministry of Education of China(No.108060).
Citation: Lin Jinxing, Fei Shumin, Shen Jiong, et al.Robust admissibility analysis of uncertain switched singular systems:a switched Lyapunov function approach[J].Journal of Southeast University(English Edition), 2009, 25(2):208-212.

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