We summarized the main results of the Hamilton-Jacobi-Bellman strategy to study intertemporalo ptimization in the “optimalco ntrol survival kit”, Sect. 4.11, p. 168. Chapters 4, p. 125 and 14, p. 525 and Sects. 15.3, p. 527 and 15.4, p. 542 provided many examples of value functions of a series of optimization problems over state-control pairs solutions to control systems which were characterized in terms of viability kernels and capture basins of auxiliary systems, which we referred to as viability episolutions.