Delay systems and optimal control |
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Authors: | Xiang Xiaoling Kuang Huawu |
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Institution: | (1) Department of Mathematics, Guizhou University, 550025 Guiyang, China |
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Abstract: | In this paper, we generalize Gronwall lemma to the case with time lags and use them to study delay controlled systems. For delay controlled systems associated with C_o-semigroup and analytic semigroup, we obtain the existences of mild solutions and optimals control. Lastly, an example is given to illustrate our abstract results. |
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Keywords: | Semigroup delay system Gronwall lemma a priori estimate optimal control |
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