带混合时滞的计算机病毒模型的最优控制研究  

Optimal control for a computer virus model with mixed delays

作　　者：李小妮 LI Xiaoni(School of Liberal Arts,Shaanxi Institute of International Trade and Commerce,Xi′an Shaanxi 712046)

机构地区：[1]陕西国际商贸学院通识学院,陕西西安712046

出　　处：《宁夏师范学院学报》2022年第10期10-15,共6页Journal of Ningxia Normal University

摘　　要：研究了一类带混合时滞的计算机病毒模型的最优控制问题.首先,通过设置控制变量,建立了最优控制模型;其次,运用控制集的凸性和Pontryagin最大值原理,证明最优控制的存在性并对最优控制问题进行求解;最后,运用MATLAB数值模拟该模型的算法,验证了所得的结论.The optimal control problem for a class of computer virus models with mixed delays is studied.Firstly, the optimal control model is established by setting control variables;Secondly, using the convexity of control set and Pontryagin maximum principle, the existence of optimal control is proved and the optimal control problem is solved;Finally, the algorithm of the model is simulated by MATLAB,and the conclusion is verified.

关 键 词：计算机病毒模型 信息安全 混合时滞 最优控制 

分 类 号：O175.1[理学—数学]