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

Mingxuan Shen; Chen Fei; Weiyin Fei; Xuerong Mao

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

Mingxuan Shen, Chen Fei, Weiyin Fei, Xuerong Mao

Mathematics And Statistics

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Abstract

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.

Original language	English
Number of pages	16
Journal	Science in China Series F - Information Sciences
Publication status	Accepted/In press - 14 Jan 2019

Keywords

hybrid delay systems
neutral stochastic systems
multiple delays
highly nonlinear

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Shen-etal-SCSFIS2019-Boundedness-and-stability-of-highly-nonlinear-neutral-stochasticAccepted author manuscript, 774 KB

https://link.springer.com/journal/11432

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title = "Boundedness and stability of highly nonlinear neutral stochastic systems with multiple delays",

abstract = "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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AU - Shen, Mingxuan

AU - Fei, Chen

AU - Fei, Weiyin

AU - Mao, Xuerong

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Y1 - 2019/1/14

N2 - 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.

AB - 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.

KW - hybrid delay systems

KW - neutral stochastic systems

KW - multiple delays

KW - highly nonlinear

UR - https://link.springer.com/journal/11432

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JO - Science in China Series F - Information Sciences

JF - Science in China Series F - Information Sciences

SN - 1009-2757

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