Stabilization by intermittent control for hybrid stochastic differential delay equations

Abstract

<p style='text-indent:20px;'>This paper is concerned with stablization of hybrid differential equations by intermittent control based on delay observations. By M-matrix theory and intermittent control strategy, we establish a sufficient stability criterion on intermittent hybrid stochastic differential equations. Meantime, we show that hybrid differential equations can be stabilized by intermittent control based on delay observations if the delay time <inline-formula><tex-math id="M1">\begin{document}$ \tau $\end{document}</tex-math></inline-formula> is bounded by <inline-formula><tex-math id="M2">\begin{document}$ \tau^* $\end{document}</tex-math></inline-formula>. Finally, an example is presented to illustrate our theory.</p>