Abstract
This paper investigates the time optimal control problem to a target set for semilinear control systems involving time delays or memories when a principal operator is unbounded by the construction of a fundamental solution and an easy consequence of the definition of real interpolation spaces. A convergence theorem of time optimal controls for the given semilinear retarded system to a point target set is also given.
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This research was supported by Basic Science Research Program through the National research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2012-0007560).
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Communicated ByGünter Leugering.
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Jeong, JM., Son, SJ. Time Optimal Control of Semilinear Control Systems Involving Time Delays. J Optim Theory Appl 165, 793–811 (2015). https://doi.org/10.1007/s10957-014-0639-y
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DOI: https://doi.org/10.1007/s10957-014-0639-y