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Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays

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Abstract

This paper reports the boundedness and stability of highly nonlinear hybrid neutral stochastic differential delay equations (NSDDEs) with multiple delays. Without imposing linear growth condition, the boundedness and exponential stability of the exact solution are investigated by Lyapunov functional method. In particular, using the M-matrix technique, the mean square exponential stability is obtained. Finally, three examples are presented to verify our results.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 71571001, 71873002), Natural Science Foundation of Universities of Anhui Province (Grant No. KJ2018A0119), and Promoting Plan of Higher Education of Anhui Province (Grant No. TSKJ2016B11).

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Authors and Affiliations

  1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China

    Mingxuan Shen

  2. Glorious Sun School of Business and Management, Donghua University, Shanghai, 200051, China

    Chen Fei

  3. School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, 241000, China

    Mingxuan Shen & Weiyin Fei

  4. Department of Mathematics and Statistics, University of Strathclyde, Glasgow, G1 1XH, UK

    Xuerong Mao

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  1. Mingxuan Shen
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  2. Chen Fei
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  3. Weiyin Fei
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  4. Xuerong Mao
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Correspondence to Weiyin Fei.

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Shen, M., Fei, C., Fei, W. et al. Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays. Sci. China Inf. Sci. 62, 202205 (2019). https://doi.org/10.1007/s11432-018-9755-7

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  • DOI: https://doi.org/10.1007/s11432-018-9755-7

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