Discretional Convexity and the Maximum Principle for Discrete Systems

@inproceedings{Holtzman1966DiscretionalCA,
  title={Discretional Convexity and the Maximum Principle for Discrete Systems},
  author={Julian M. Holtzman and Hubert Halkin},
  year={1966}
}
Directional convexity is a property of sets closely related to, but weaker than, convexity. It is the existence of supporting hyperplanes at all boundary points of a convex set that makes convexity important in optimal control theory. However, there need be supporting hyperplanes on only one side of the sets for much of the development. Directionally convex sets have this property. The concept of directional convexity, a property of sets, is a generalization, in the following sense, of the… CONTINUE READING

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