Further results on stabilization of stochastic differential equations with delayed feedback control under $ G $-expectation framework

Abstract

<p style='text-indent:20px;'>In this paper we establish a comparison approach to study stabilization of stochastic differential equations driven by <inline-formula><tex-math id="M2">\begin{document}$ G $\end{document}</tex-math></inline-formula>-Brownian motion with delayed (<inline-formula><tex-math id="M3">\begin{document}$ G $\end{document}</tex-math></inline-formula>-SDDEs for short) feedback control. This theory also extends to a general range of moment order and brings more choices of <inline-formula><tex-math id="M4">\begin{document}$ p $\end{document}</tex-math></inline-formula>. Finally, a simple example is proposed to demonstrate the applications of our theory.</p>