计算机病毒的最优控制模型

Optimal control model for computer viruses

提出一个带有最优控制的SAIC模型,让感染病毒的节点数目和系统消耗保持在较低的水平。运用最优控制理论的相关原理和方法,证明了最优控制的存在性,并给出了刻画最优控制的最优系统。数值仿真结果表明,使用适当的控制策略后,计算机病毒的传播得到了有效的控制。所提的方法有望成为一种有用的工具来控制计算机病毒的传播。

This paper proposed a modified SAIC（susceptible,antidotal,infected,contaminated） model with optimal control,which was intended to keep both the number of infected nodes and the systemic cost levels low.By using the relevant principles and methods in optimal control theory,it proved the existence of an optimal control.In addition,characterized the optimal control by an optimality system.Numerical simulations show that the spread of computer virus can be controlled effectively with proper control strategies.The proposed method is expected to become a useful tool in controlling the spread of computer virus.