JZUS - Journal of Zhejiang University SCIENCE

Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.8 P.1043-1049

http://doi.org/10.1631/jzus.A0720044

Dynamical output feedback stabilization for neutral systems with mixed delays

Author(s): Wei QIAN, Guo-jiang SHEN, You-xian SUN
Affiliation(s): State Key Lab of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China; more
Corresponding email(s): way.qian@yahoo.com.cn, gjshen@iipc.zju.edu.cn
Key Words: Neutral systems, Mixed delays, Output feedback stabilization, Linear matrix inequality (LMI)

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Abstract: This paper is concerned with the issue of stabilization for the linear neutral systems with mixed delays. The attention is focused on the design of output feedback controllers which guarantee the asymptotical stability of the closed-loop systems. Based on the model transformation of neutral type, the Lyapunov-Krasovskii functional method is employed to establish the delay-dependent stability criterion. Then, through the controller parameterization and some matrix transformation techniques, the desired parameters are determined under the delay-dependent design condition in terms of linear matrix inequalities (LMIs), and the desired controller is explicitly formulated. A numerical example is given to illustrate the effectiveness of the proposed method.

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