Existence Theorems with Convexity Assumptions
In this chapter we develop the basic existence theorems for problems in which a certain convexity condition is present. The key theorem on which the entire development is based is Theorem 4.1, which guarantees compactness of certain sets of trajectories together with a property related to lower-semicontinuity. Theorem 4.1 will also be used in Chapters 4 and 6.
KeywordsState Equation Existence Theorem Lower Semicontinuous Admissible Control Admissible Pair
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