Quasi sure exponential stabilization of nonlinear systems via intermittent <inline-formula><tex-math id="M1">\begin{document}$ G $\end{document}</tex-math></inline-formula>-Brownian motion

Abstract

This paper focuses on the quasi sure exponential stabilization of nonlinear systems. By virtue of exponential martingale inequality under \begin{document}$ G $\end{document} -framework and intermittent \begin{document}$ G $\end{document} -Brownian motion (in short, \begin{document}$ G $\end{document} -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.