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

Yong Sheng Ren, Wensheng Yin · Discrete and Continuous Dynamical Systems - B · 2019

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.

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