The paper studies semilinear stochastic evolution equations in a real Hilbert space. The main goal is to consider the Trotter–Kato approximations of mild solutions of such equations. As an application, a classical limit theorem on the dependence of such equations on a parameter is obtained.

In this paper we study the question of robust stabilization of infinite dimensional stochastic systems against uncertainty induced by relatively bounded perturbations of the principal operator determining the system. We present results on state feedback robust stabilization with a general decay....

In this paper, we study the question of state feedback exponential stabilizability by using a Razumikhin type theorem of mild solutions of SDEs in infinite dimensions with finite delay. An example is presented to illustrate the theory.