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

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.

Keywords:

• stochastic difference systems
• time-varying delays
• exponential ultimate boundedness

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].