社交网络影响的不良信息扩散建模及最优控制策略

针对已有不良信息传播模型没有考虑不同社交网络间信息扩散情况，利用图论中的连通性原理，建立了多个社交网络间不良信息扩散的动力学模型，并且将优化控制理论应用到模型中。通过最优控制原理，证明了最优控制策略的存在性，进一步得到了不良信息扩散的优化控制模型。实验结果表明，引入优化控制措施可以有效抑制不良信息扩散规模，而且控制策略的强度可以根据需要进行动态调整。另外，通过模拟不同社交网络间是否有信息相互传递，发现社交网络间的信息传递会增大不良信息扩散的规模和速度。

Bad information diffusion modeling and optimal control strategy influenced by social networks

In view of the existing bad information diffusion models do not consider the information diffusion between different social networks, the connectivity principle in graph theory was used to establish a dynamic model of the diffusion of bad information among multiple social networks, and the optimal control theory was applied to the model. Through the optimal control principle, the existence of the optimal control strategy was proved. Then the optimal control model of the diffusion of bad information was obtained. The experimental results show that the introduction of optimal control measures can effectively suppress the diffusion scale of bad information, and the strength of the control strategy can be dynamically adjusted as needed. In addition, by simulating the conditions with and without information transmitted between different social networks, it is found that the information transmission between social networks will increase the scale and speed of the diffusion of bad information.