DELAY SYSTEMS AND OPTIMAL CONTROL

作     者：项筱玲 旷华武 

作者机构：Department of Mathematics Guizhou University Guiyang China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2000年第16卷第1期

页      面：27-35页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：supported by the National Natural Sciences Foundation of China (No.29362003) and ScienceCommittee of Guizhou province 

主　　题：Semigroup delay system Gronwall lemma a priori estimate optimal control 

摘      要：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.