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

Shen, Mingxuan and Fei, Chen and Fei, Weiyin and Mao, Xuerong (2019) Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays. Science in China Series F - Information Sciences. ISSN 1009-2757 (In Press)

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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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• Item metadata

  Item type:	Article
  ID code:	66659
  Dates:	Date Event 14 January 2019 Published 14 January 2019 Accepted
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	21 Jan 2019 14:49
  Last modified:	18 Apr 2024 00:23
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/66659