The Study of Optimal Control for Some Parabolic Distributed Parameter Systems
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摘要: 本文通過分析線性微分算子A的特征,應用列緊算子半群的性質和畢卡達定理,證明了二次性能指標泛函下一維擴散過程混合線性最優控制的存在性,參照文獻具體給出了最優控制律;并且就文獻所討論的結果,作為兩種特殊情況進行了驗證。Abstract: This paper proves the existence of mixed linear optimal control in a quadratic criterion, by analysing the characteristics of linear differential operator A and using the properties of semigroups of compact operators and Picard theorem, for one-dimensional diffusion processes. And then, according to the reference[3], the optimal control law has been given in detail. Besides, the results given in the references[1-2]are discussed as the special cases in the paper.
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