内容简介

本书共8章，内容包括：第1章是引言，介绍本书的写作背景和基本情况。第2章对本书用到的基础知识进行介绍。第3章研究基本的带有随机噪声的Hegselmann-Krause模型的同步行为。第4章研究全状态空间下随机噪声引导系统同步的理论。第5章研究异质模型在环境噪声及通讯噪声作用下的演化。第6章应用前文理论研究社会舆论分歧产生的模型和机制。第7章介绍随机信息流产生真相的相关理论。第8章介绍利用随机噪声消除群体分歧的干预策略。

前言概述

Understandingtheoriginandtheunderlyingprinciplesofsynchronizationphenomenainself-organizingsystemshasbeenagrandtransdisciplinarychallenge.Aparticularlyvibrantandrecentlyemergingnovellineofresearchinthisareahasbeendedicatedtothestudyofnoise-inducedsynchronizationinhumancollectivebehaviorsuchasglobalopinionformation.However,duetotheinherentdifficultyofitsmathematicalanalysis,mosttheoreticalapproacheslargelyneglectedtheinfluenceofnoiseonsynchronization
processes.Recently,thetheoreticaldevelopmentofnoise-drivensynchronizationofboundedconfidenceopiniondynamicsprovidesawindowforpeopletolookintohowstochasticeffectinducestheorderofasystemfromadisorderedstate.Thisbookpresentsthenewresultsonthenoise-inducedsynchronizationofboundedconfidenceopiniondynamics.Boundedconfidenceimpliesthatanagentupdatesitsstatesbyonlyconsideringofthestateswithinitsconfidencethreshold.
Hegselmann-Krause(HK)model,astandardmodelofboundedconfidence,istakentodisplaythemethodologiesandthemaintheoreticaldevelopmentofthetopic.Also,someapplicationsofpositivenoiseeffectinsocialmeaningarecollectedforthereaderstounderstandthistopic.Thebookiswrittenforresearchersandengineersworkinginsystemstheoryandcontrol,complexsystems,socialnetworks,andmachinelearningetc

作者介绍

苏伟，北京科技大学自动化学院讲师，从事控制理论与应该方面研究，兴趣为复杂系统的建模与控制、人工智能及群体智能协同理论。首次从理论上解决了基于局部规则的多智能体的随机信息控制问题，发表SCI论文10余篇。主持国家自然科学基金1项，参与科技部2030人工智能重大专项1项，参与工业制造横向项目多项。陈鸽，中国科学院系统科学研究所副研究员，主要从事随机复杂系统理论研究，目前兴趣主要为随机社会复杂网络及网络博弈论。

目录

PrefaceNotation1Introduction

1.1Motivation

1.2StochasticOpinionDynamics

1.3OutlineoftheBook2Preliminaries

2.1SomeConceptsofProbabilityTheory

2.2SomeConceptsofGraphTheory

2.3Hegselmann-KrauseModel3HomogeneousHegselmann-KrauseModelinBoundedSpace

3.1ProblemStatement

3.2NoiseLeadstoQuasi-Synchronization

3.3NumericalSimulation

3.4Note

4HomogeneousHegselmann-KrauseModelinFullSpace

4.1ProblemStatement

4.2AnalysisofSynchronization

4.3NumericalSimulation

4.4Note

5HeterogeneousHegselmannKrauseModelwithEnvironmentandCommunicationNoise

5.1ProblemStatement

5.2AnalysisofSystemBehavior

5.3NumericalSimulation

5.4Note6RobustFragmentationofHegselmann-Krause-TypeDynamics

6.1ProblemStatement

6.2ModelswithHomogenousandHeterogeneousPrejudices

6.3RobustFragmentation

6.4NumericalSimulation

6.4Note7RandomInformationBenefitsTruthSeeking

7.1ProblemStatement

7.2TruthSeekingwithRandomInformation

7.3NumericalSimulation

7.4Note8EliminationofDisagreementviaCovertNoise

8.1ProblemStatement

8.2Noise-BasedInterventionStrategy

8.3SoftControlStrategy

8.4StoppingTimeofReachingConsensus

8.5NumericalSimulation8.6NoteReferences