Open Access
2017 Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems
Xiaoxing Chen, Manfeng Hu
Abstr. Appl. Anal. 2017: 1-12 (2017). DOI: 10.1155/2017/3273480


Finite-time stability and stabilization problem is first investigated for continuous-time polynomial fuzzy systems. The concept of finite-time stability and stabilization is given for polynomial fuzzy systems based on the idea of classical references. A sum-of-squares- (SOS-) based approach is used to obtain the finite-time stability and stabilization conditions, which include some classical results as special cases. The proposed conditions can be solved with the help of powerful Matlab toolbox SOSTOOLS and a semidefinite-program (SDP) solver. Finally, two numerical examples and one practical example are employed to illustrate the validity and effectiveness of the provided conditions.


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Xiaoxing Chen. Manfeng Hu. "Finite-Time Stability and Controller Design of Continuous-Time Polynomial Fuzzy Systems." Abstr. Appl. Anal. 2017 1 - 12, 2017.


Received: 9 September 2017; Revised: 28 October 2017; Accepted: 12 November 2017; Published: 2017
First available in Project Euclid: 9 January 2018

zbMATH: 06929548
MathSciNet: MR3743310
Digital Object Identifier: 10.1155/2017/3273480

Rights: Copyright © 2017 Hindawi

Vol.2017 • 2017
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