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IMA Journal of Mathematical Control and Information 2005 22(1):80-87; doi:10.1093/imamci/dni006
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© Institute of Mathematics and its Applications 2005; all rights reserved. For permissions please email: journals.permissions@oupjournals.org

Existence of unbounded solutions of time varying systems and failure of global asymptotic stability in discrete-time cascade systems

Xiao-Song Yang *

Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China Centre for Systems and Control, and Department of Automation, Xiamen University, Xiamen, 361005, China

In this paper we present a result on existence of unbounded solutions for a class of time varying systems and apply it to discuss discrete-time cascade systems by investigating how growth rates of connection terms fails the global asymptotic stability of the zero solutions of cascade systems.

Keywords: global asymptotic stability; global boundedness; growth rates; time varying systems; cascade systems.

Received on 16 September 2003.

* Email: yangxs{at}cqupt.edu.cn


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