Improved stability for linear SPDEs using mixed boundary/internal controls

This paper is motivated by the asymptotic stabilization of abstract SPDEs linear type. As a first step, it proposes an contribution to exact controllability (in general Lp-sense, p>1) class SDEs with time-invariant rank control coefficient in diffusion term. From this point view, our generalizes some results Wang et al. (2017) where full and null were considered. Necessary conditions sufficient ones are discussed their hierarchy connections approximate illustrated. Second, illustrates, on relevant frameworks SPDEs, way drive exactly 0 unstable part dimension n≥1 using M internal, respectively N boundary controls such that maxM,N<n. Extensive examples presented as minimal gain for judicious pairs.