By using the relaxed control, the existence of an optimal control problem is considered. Thesystem involved is quite simple with respect to the corresponding state equation and cost functional. However the control domain and the cost functional are not symmetric. Moreover, the state variable and the control variable are not separated in the cost functional. This makes the problem very different to most non-existence and existence results of optimal control problems.
WEN Junjie. , {{custom_author.name_en}}.
EXISTENCE OF AN OPTIMAL CONTROL PROBLEM. Journal of Systems Science and Mathematical Sciences, 2011, 31(4): 373-388 https://doi.org/10.12341/jssms10371
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