球面上意见动态的Dissensus算法
Dissensus Algorithms for Opinion Dynamics on the Sphere
摘要：
本文提出了一种基于Oja主成分分析（PCA）流的新型disissus算法，用于在单位球上对意见动态进行建模。每个主体的意见状态形成的协方差信息用于实现无符号图上的异议均衡。这不同于大多数现有的工作，其中的拮抗性的相互作用表示的负权重在签署的图形被用来实现disissus平衡。分析了常协方差和时变协方差两种情况下的非线性算法，得出了两种情况下的不同行为。在不同的条件下，不稳定的共识和稳定的异议平衡点的稳定性分析。通过一个多智能体系统的仿真实验，说明了算法的性能。
英文摘要：
In this paper, novel dissensus algorithms based on the Oja principal component analysis (PCA) flow are proposed to model opinion dynamics on the unit sphere. The information of the covariance formed by the opinion state of each agent is used to achieve a dissensus equilibrium on unsigned graphs. This differs from most of the existing work where antagonistic interactions represented by negative weights in signed graphs are used to achieve a dissensus equilibrium. The nonlinear algorithm is analyzed under both constant covariance and time-varying covariance leading to different behaviors. Stability analysis for the unstable consensus and stable dissensus equilibria is provided under various conditions. The performance of the algorithm is illustrated through a simulation experiment of a multi-agent system.
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