Some results on stabilization of (deterministic and stochastic) partial differential equations are established. In particular, some stability criteria from Chow  and Haussmann  are improved and subsequently applied to certain situations, on which the original criteria commonly do not work, to ensure almost sure exponential stability. This paper also extends to infinite dimension some results due to Mao  on stabilization of differential equations in finite dimension.
"On stabilization of partial differential equations by noise." Nagoya Math. J. 161 155 - 170, 2001.