带状态约束的奇异控制问题的最优控制存在性
Existence of optimal controls for singular control problems with state constraints
摘要:
我们建立了一类具有状态约束的广义奇异控制问题的最优控制的存在性。证明使用弱收敛参数和时间重新缩放技术。布朗控制问题\citehar的最优控制的存在,与一个广泛的家庭的随机网络,如下的结果。
英文摘要:
We establish the existence of an optimal control for a general class of singular control problems with state constraints. The proof uses weak convergence arguments and a time rescaling technique. The existence of optimal controls for Brownian control problems \citehar, associated with a broad family of stochastic networks, follows as a consequence.
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