Video from a May 2017 Lecture at MIT on the solutions of Bellman's equation, Stable optimal control, and semicontractive dynamic programming. Related paper, and set of Lecture Slides.
Videos from a 5-lecture series on Semicontractive Dynamic Programming, a type of methodology, introduced in the research monograph Abstract Dynamic Programming.
The monograph aims at a unified and economical development of the core theory and algorithms of total cost sequential decision problems. Semicontractive DP refers qualitatively to a collection of models where some policies have a regularity/contraction-like property but others do not. They are exemplified by models involving a termination state, such as shortest path-type problems, both deterministic and stochastic.
The lectures focus on research, which is described in recent papers and an updated version of Chapter 3 of the monograph. The lectures are as follows: