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

Mingxuan Shen; Chen Fei; Weiyin Fei; Xuerong Mao; Chunhui Mei

doi:10.1002/rnc.6384

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

Mingxuan Shen, Chen Fei, Weiyin Fei, Xuerong Mao, Chunhui Mei

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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 (Formula presented.) stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.

Original language	English
Pages (from-to)	9957-9976
Number of pages	20
Journal	International Journal of Robust and Nonlinear Control
Volume	32
Issue number	18
Early online date	2 Oct 2022
DOIs	https://doi.org/10.1002/rnc.6384
Publication status	Published - 31 Dec 2022

Keywords

delay-dependent stability
neutral stochastic systems
highly nonlinear
Markov switching
exponential stability

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10.1002/rnc.6384

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title = "Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations",

abstract = "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 (Formula presented.) stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.",

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author = "Mingxuan Shen and Chen Fei and Weiyin Fei and Xuerong Mao and Chunhui Mei",

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T1 - Delay-dependent stability of highly nonlinear neutral stochastic functional differential equations

AU - Shen, Mingxuan

AU - Fei, Chen

AU - Fei, Weiyin

AU - Mao, Xuerong

AU - Mei, Chunhui

PY - 2022/12/31

Y1 - 2022/12/31

N2 - 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 (Formula presented.) stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.

AB - 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 (Formula presented.) stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.

KW - delay-dependent stability

KW - neutral stochastic systems

KW - highly nonlinear

KW - Markov switching

KW - exponential stability

UR - https://onlinelibrary.wiley.com/journal/10991239

U2 - 10.1002/rnc.6384

DO - 10.1002/rnc.6384

M3 - Article

VL - 32

SP - 9957

EP - 9976

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 18

ER -

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

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Keywords

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