Delay‐dependent stability of highly nonlinear neutral stochastic functional differential equations

This article focuses on the delay‐dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the Lyapunov functional. The stabilities discussed in t...

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Published in:International journal of robust and nonlinear control 2022-12, Vol.32 (18), p.9957-9976
Main Authors: Shen, Mingxuan, Fei, Chen, Fei, Weiyin, Mao, Xuerong, Mei, Chunhui
Format: Article
Language:English
Subjects:
Delay
delay‐dependent stability
Differential equations
exponential stability
highly nonlinear
Markov switching
Mathematical analysis
neutral stochastic systems
Stability criteria
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description This article focuses on the delay‐dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the Lyapunov functional. The stabilities discussed in this article include H∞$$ {H}_{\infty } $$ stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.
doi_str_mv 10.1002/rnc.6384
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subjects Delay
delay‐dependent stability
Differential equations
exponential stability
highly nonlinear
Markov switching
Mathematical analysis
neutral stochastic systems
Stability criteria
title Delay‐dependent stability of highly nonlinear neutral stochastic functional differential equations
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