Abstract In this paper, we revisit energy-based concepts of controllability and reformulate them for control-affine nonlinear systems perturbed by white noise. Specifically, discuss the relation between deterministic corresponding stochastic control in limit small noise case which target state is a measurable subset space. We derive computable expression hitting probabilities mean first times t...

Dear Editor, This letter investigates the prescribed-time stabilization of linear singularly perturbed systems. Due to numerical issues caused by small perturbation parameter, off-the-shelf control design techniques for regular systems are typically not suitable here. To solve problem, decoupling transformation time-varying combined with high gain feedback techniques. A composite state controll...