Stabilization by intermittent control for hybrid stochastic differential delay equations

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 \begin{document}$ \tau $\end{document} is bounded by \begin{document}$ \tau^* $\end{document}. Finally, an example is presented to illustrate our theory.