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 e...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.展开更多
基金Supported by National Basic Research Program of China(973 Program2007CB814901)+1 种基金National Natural Science Foundation of China(10826098)Anhui Natural Science Foundation (090416225)
基金supported by the National Natural Sciences Foundation of China (No.29362003) and ScienceCommittee of Guizhou province.
文摘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.
