文献类型：期刊文献

英文题名：Stochastic stability of opinion dynamics with stubbornness

作者：Liang, Haili[1]; Zhou, Zhao[2]

机构：[1] Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, China; [2] Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China

年份：2018

卷号：2018-January

起止页码：2340

外文期刊名：2017 Asian Control Conference, ASCC 2017

收录：EI(收录号：20182205254858)

语种：英文

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

摘要：In this paper we investigate the stochastic stability of opinion dynamics model in which each individual's current opinion is influenced by others. We assume that the social network is strongly connected topology and that each individual's opinion continually is subjected to small stochastic multiplicative noises and a stubborn opinion. We first propose a general stochastic opinion dynamics model with a stubborn opinion. We then consider the stochastic stability of the system. According to the mathematical concepts, it turns out that there are at least three different types of stochastic stability: stability in probability, moment stability and almost sure stability. We focus on the stochastic stability in probability in this paper. The time evolution of opinion dynamics is described by the stochastic differential equation with multiplicative noise. We establish clearly the condition under which the average of opinions can reach stochastic stability in probability and we develop sufficient condition that the error system for all opinions is stochastic stability in probability. Besides theoretical analysis, we demonstrate our results through numerical computations and simulations as well. ? 2017 IEEE.