Summary
Recently, Carlson gave a new infinite-horizon lower closure result [12, 14].Here an infinite-dimensional generalization of this result is derived by combining a new extension of Chacon's biting lemma with a known infinite-dimensional lower semicontinuity result for problems with a finite time horizon.
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Balder, E.J. On infinite-horizon lower closure results for optimal control. Annali di Matematica pura ed applicata 151, 239–246 (1988). https://doi.org/10.1007/BF01762797
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DOI: https://doi.org/10.1007/BF01762797