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IMA Journal of Mathematical Control and Information Advance Access published online on January 6, 2007
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnl038
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© The author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Estimates of the region of attraction of continuous-time cascade systems

Xiaoming Bai

Departments of Mathematics and Control and Engineering, Huazhong University of Science and Technology Wuhan, Hubei 430074, People's Republic of China

Xiao-Song Yang

Department of Mathematics, Huazhong University of Science and Technology Wuhan, Hubei 430074, People's Republic of China

Huimin Li

Departments of Mathematics and Control and Engineering, Huazhong University of Science and Technology Wuhan, Hubei 430074, People's Republic of China

Corresponding author. Email: yangxs{at}cqupt.edu.cn

Received on 1 May 2006; Accepted on 6 October 2006


  Abstract

In this paper, we first present some new sufficient conditions for global asymptotic stability of continuous-time cascade systems. Then, we give some detailed results on the region of attraction of continuous-time cascade systems. Some examples are presented to illustrate these results.

Keywords: global asymptotic stability; the region of attraction; continuous-time cascade systems.


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