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November  2019, 24(11): 5871-5883. doi: 10.3934/dcdsb.2019110

## Quasi sure exponential stabilization of nonlinear systems via intermittent $G$-Brownian motion

 1 Department of Mathematics, Anhui Normal University, Wuhu 241000, China 2 School of Mathematics, Southeast University, Nanjing 211189, China

* Corresponding author

Received  September 2018 Published  June 2019

Fund Project: This work is supported by the National Natural Science Foundation of China (11871076).

This paper focuses on the quasi sure exponential stabilization of nonlinear systems. By virtue of exponential martingale inequality under $G$-framework and intermittent $G$-Brownian motion (in short, $G$-ISSs), we establish the sufficient conditions to guarantee quasi surely exponential stability. The efficiency of the proposed results is illustrated by the memristor-based Chua's oscillator.

Citation: Yong Ren, Wensheng Yin. Quasi sure exponential stabilization of nonlinear systems via intermittent $G$-Brownian motion. Discrete & Continuous Dynamical Systems - B, 2019, 24 (11) : 5871-5883. doi: 10.3934/dcdsb.2019110
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