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Ultimate boundedness of discrete stochastic time-delay systems with logic impulses

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Abstract

In this paper, we introduce a discrete stochastic time-delay system with impulses suffered by logic choice and a pth moment \((\mu ,\rho )\)-ultimate boundedness concept for this new system. Based on the pth moment ultimate boundedness concept, we give some pth moment \((\mu ,\rho )\)-ultimate boundedness criteria for this new system. In the end, we illustrate the effectiveness of the criterion by an example.

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Acknowledgements

The authors would like to thank the associate editor and the anonymous reviewers for their constructive comments and suggestions to improve the quality of the manuscript.

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Authors and Affiliations

  1. School of Mathematics Sciences, Tongji University, Shanghai, 200092, People’s Republic of China

    Zhenhua He & Jitao Sun

  2. School of Information and Statistics, Guangxi University of Finance and Economics, Nanning, 530003, People’s Republic of China

    Zhenhua He

  3. Institute for Intelligent Systems, University of Johannesburg, Johannesburg, South Africa

    Jitao Sun

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  1. Zhenhua He
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  2. Jitao Sun
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Correspondence to Zhenhua He.

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This work was supported by the National Natural Science Foundation of China (Grant No. 61673296).

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He, Z., Sun, J. Ultimate boundedness of discrete stochastic time-delay systems with logic impulses. Neural Comput & Applic 32, 5805–5813 (2020). https://doi.org/10.1007/s00521-019-04054-7

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  • DOI: https://doi.org/10.1007/s00521-019-04054-7

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