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International Journal of Control Volume 88, 2015 - Issue 5
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Original Articles

Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays

Liguang XuDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou310023, PR China;Department of Electrical and Computer Engineering, National University of Singapore, Singapore117576Correspondence[email protected]
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Shuzhi Sam GeDepartment of Electrical and Computer Engineering, National University of Singapore, Singapore117576View further author information
Pages 983-989 | Received 21 Jun 2014, Accepted 15 Nov 2014, Published online: 08 Jan 2015
 
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Abstract

In this paper, we discuss the boundedness of nonlinear stochastic difference systems with time-varying delays. Several criteria on exponential ultimate boundedness in mean square are derived. Examples are also discussed to illustrate the effectiveness of the obtained results.

Acknowledgements

The authors would like to thank Editor-in-Chief Dr. Eric Rogers and several anonymous reviewers for their constructive suggestions and helpful comments on this paper.

Additional information

Funding

The work is supported by National Natural Science Foundation of China [grant number 11101367] and the China Scholarship Council [grant number 201208330001].

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