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

Mingxuan Shen, Chen Fei, Weiyin Fei, Xuerong Mao

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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.
Original languageEnglish
Number of pages16
JournalScience in China Series F - Information Sciences
Publication statusAccepted/In press - 14 Jan 2019


  • hybrid delay systems
  • neutral stochastic systems
  • multiple delays
  • highly nonlinear

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