Abstract

In this chapter we study nonoccurrence of the Lavrentiev phenomenon for a large class of nonconvex optimal control problems. We show that for most problems (in the sense of Baire category) the infimum on the full admissible class of trajectory-control pairs is equal to the infimum on a subclass of trajectory-control pairs with bounded controls.KeywordsLavrentiev PhenomenonTrajectory-control PairNonconvex Optimal Control ProblemsBaire CategoryStrong TopologyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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