文献类型：期刊文献

英文题名：Almost Sure Exponential Stability of Altafini Model with Multiplicative Noise for Opinion Dynamics

作者：Yuan, Fanli[1]; Cui, Ying[1]; Liang, Haili[1]; Zhou, Zhao[2]

机构：[1] Shanghai University, Shanghai Key Laboratory of Power Station Automation Technology, Shanghai, 200444, China; [2] East China University of Science and Technology, Key Laboratory of Advanced Control and Optimization for Chemical Processes, Shanghai, 200237, China

年份：2020

卷号：2020-July

起止页码：6695

外文期刊名：Chinese Control Conference, CCC

收录：EI(收录号：20203909241903)

语种：英文

外文关键词：Phase noise - Stochastic models - Dynamics - Additive noise - System stability

摘要：In this paper, we investigate the stability analysis of stochastic opinion dynamics in which the agents are interfered by multiplicative noise. We propose a stochastic Altafini model of opinion evolution in signed social networks with multiplicative noise and give the analysis of almost sure exponential stability (ASES). Compared with the deterministic opinion dynamic and stochastic opinion dynamics in additive noise environments, our results concern the effects of the agents' free will, i.e., multiplicative noise, in signed social networks. We establish a sufficient condition with stochastic multiplicative noise which can guarantee the stochastic system is almost sure exponential stability (ASES) when the parameters of the strength of noise is limited by the conditions. Numerical simulations are given to illustrate the above theoretical results. ? 2020 Technical Committee on Control Theory, Chinese Association of Automation.