Feedback delay control of highly nonlinear stochastic functional differential equations with discrete‐time state observations

2021 ◽  
Author(s):  
Chunhui Mei ◽  
Yong Liang ◽  
Weiyin Fei ◽  
Xuerong Mao
Keyword(s):  
Differential Equations ◽  
Discrete Time ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Feedback Delay ◽  
Highly Nonlinear ◽  
Delay Control ◽  
Functional Differential ◽  
Stochastic Functional

scholarly journals Stability of Nonlinear Neutral Stochastic Functional Differential Equations

2010 ◽  
Vol 2010 ◽  
pp. 1-26 ◽  
Author(s):  
Minggao Xue ◽  
Shaobo Zhou ◽  
Shigeng Hu
Keyword(s):  
Differential Equations ◽  
Growth Condition ◽  
Linear Growth ◽  
Functional Differential Equations ◽  
Stochastic Functional Differential Equations ◽  
Linear Growth Condition ◽  
Highly Nonlinear ◽  
Functional Differential ◽  
New Criteria ◽  
Stochastic Functional

Neutral stochastic functional differential equations (NSFDEs) have recently been studied intensively. The well-known conditions imposed for the existence and uniqueness and exponential stability of the global solution are the local Lipschitz condition and the linear growth condition. Therefore, the existing results cannot be applied to many important nonlinear NSFDEs. The main aim of this paper is to remove the linear growth condition and establish a Khasminskii-type test for nonlinear NSFDEs. New criteria not only cover a wide class of highly nonlinear NSFDEs but they can also be verified much more easily than the classical criteria. Finally, several examples are given to illustrate main results.

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