On the existence of sporadically catching-up optimal solutions for infinite-horizon optimal control problems
We extend the existence theory of \textit{W. A. Brock} and \textit{A. Haurie} [Math. Oper. Res. 1, 337-346 (1976; Zbl 0367.49003)] concerning the existence of sporadically catching-up optimal solutions for autonomous, infinite-horizon optimal control problems. This notion of optimality is one of a hierarchy of types of optimality that have appeared in the literature to deal with optimal control problems whose cost functionals, described by an improper integral, either divege or are unbounded below. Our results rely on the now classical convexity and seminormality hypotheses due to Cesari and are weaker than those assumed in the work of Brock and Haurie. An example is presented where our results are applicable, but those of the above mentioned authors do not.
existence of sporadically catching-up optimal solutions
infinite-horizon optimal control problems
scientific article; zbMATH DE number 3960376
scientific article