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

被引：0
作者：
Mingxuan Shen
Chen Fei
Weiyin Fei
Xuerong Mao
机构：
[1] Nanjing University of Science and Technology,School of Science
[2] Donghua University,Glorious Sun School of Business and Management
[3] Anhui Polytechnic University,School of Mathematics and Physics
[4] University of Strathclyde,Department of Mathematics and Statistics
来源：
Science China Information Sciences | 2019年 / 62卷
关键词：
hybrid delay systems; neutral stochastic systems; multiple delays; highly nonlinear;
D O I：
暂无
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学科分类号：
摘要：
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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