Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion

LI Guangjie; YANG Qigui

doi:10.21656/1000-0887.410332

Volume 42 Issue 8

Aug. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(8): 841-851

LI Guangjie, YANG Qigui. Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion[J]. Applied Mathematics and Mechanics, 2021, 42(8): 841-851. doi: 10.21656/1000-0887.410332

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Stabilization of Nonlinear Stochastic Delay Differential Equations Driven by G-Brownian Motion

doi: 10.21656/1000-0887.410332

LI Guangjie¹,
YANG Qigui^{2
,
,}

1. School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, P.R.China;
2. School of Mathematics, South China University of Technology,Guangzhou 510640, P.R.China

Funds:

12071151)

The National Natural Science Foundation of China(11901398

Received Date: 2020-10-27
Rev Recd Date: 2021-02-03

Available Online: 2021-08-14

Abstract

Abstract

The stabilization problem of a class of nonlinear stochastic delay differential equations driven by G-Brownain motion (G-SDDEs) was studied. Firstly, a delay feedback control was designed in the drift term of an unstable nonlinear G-SDDE, and the controlled system was therefore obtained. Then, with the Lyapunov technique, sufficient conditions for the asymptotical stability of the controlled system were given. Finally, two examples were presented to illustrate the obtained results.
- nonlinear stochastic delay differential equation,
- delay feedback control,
- G-Brownian motion,
- asymptotical stability

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References(20)

References

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