The benefits of randomness in systems and control

摘要

We are motivated by the fact the noise can enhance the performance of the system. And one such counter-intuitive phenomenon was Stochastic Resonance, which is provided as a plausible explanation to earth ice-age recurrence. Further it is observed in many engineering systems. The idea of the paper is two fold: (i) To show noise when used in controlled fashion can be beneficial, and (ii) To generalize from the point of view of Stochastic Resonance. As examples we show noise benefits in ABS design and in Limit cycle minimization.