This article is concerned with the design of a feedback control based on past states in order to make given unstable hybrid stochastic differential equation (SDE) be stable distribution (stabilization distribution). first this direction. Under global Lipschitz condition coefficients SDE, we will show that stabilization can achieved by linear delay controls. In particular, discuss how controls t...

Recently Mao et al. [18] established a number of useful stability criteria in terms of M-matrices for nonlinear stochastic differential delay equations with Markovian switching, and the criteria there are independent of time delay. Such criteria are in general good for large delay but might not be good enough for small delay. When the time lag is sufficiently small, it is useful to obtain delay...