Risk-Aware Control and Games in Engineering

We present a brief tutorial on risk-aware control and game theory applied to engineering problems by solving a backward-forward partial-integro differential system composed of the Hamilton-Jacobi-Bellman and Fokker-Planck coupled equations. First, we discuss about the role that risk terms play in the engineering field. Then, both the risk-aware control and game problems are stated and the computation of the corresponding solutions is presented. We mainly focus on a basic propagation regulation of the coronavirus disease by using mean-field-type control. Hence, we discuss other engineering applications that can be addressed by using the same risk-aware perspective. Among such applications, we discuss about the electric vehicles, and the bio-inspired collective decision-making.