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.
|Number of pages||16|
|Journal||Science in China Series F - Information Sciences|
|Publication status||Accepted/In press - 14 Jan 2019|
- hybrid delay systems
- neutral stochastic systems
- multiple delays
- highly nonlinear
Shen, M., Fei, C., Fei, W., & Mao, X. (Accepted/In press). Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays. Science in China Series F - Information Sciences.