Stochastic control is a branch of control theory that deals with the design and analysis of control systems in the presence of uncertainty or randomness. In stochastic control, the systems being controlled are subject to random disturbances or noise, making it necessary to take into account probabilistic or statistical information in the design of control strategies. This area of research is widely used in various fields such as engineering, economics, finance, and biology, where uncertainties play a significant role in the dynamics of the system. Stochastic control theory aims to develop optimal control strategies that minimize the effects of randomness and optimize the system's performance in uncertain environments.