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SCIENCE CHINA Information Sciences, Volume 62, Issue 10: 202205(2019) https://doi.org/10.1007/s11432-018-9755-7

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

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  • ReceivedNov 8, 2018
  • AcceptedDec 12, 2018
  • PublishedAug 16, 2019

Abstract

This paper reports the boundedness and stability of highly nonlinear hybridneutral 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.


Acknowledgment

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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