随机通信受限下网络同步与一致问题研究

项目名称： 随机通信受限下网络同步与一致问题研究

项目编号： No.61203235

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 自动化学科

项目作者： 唐漾

作者单位： 哈尔滨工业大学

项目金额： 24万元

中文摘要： 网络同步和多智能体系统一致是近年来复杂系统领域里的一个热点问题。本项目旨在用随机过程、控制理论、图论以及矩阵分析等方法研究复杂动态网络的同步和多智能体系统的一致问题。首先，通过使用期望不变的贝努利随机变量、期望时变的贝努利随机变量和马尔科夫链等描述网络中普遍存在的随机各种通信限制 (通信时滞、自反馈时滞、传感器饱和、状态依赖噪声、丢包等)，建立随机通信受限下的网络和多智能系统模型; 其次，应用控制理论、随机微分方程、图论、Razumikhin方法研究一种或多种随机发生事件下的网络同步和一致问题，刻画随机发生事件对于网络同步和一致的影响; 在前两者研究基础之上，采用进化计算方法研究随机通信受限下的网络牵制问题，同时以期将结果应用到神经元网络同步。本项目研究将有助于更好地理解现实复杂系统中同步和控制的内在机理，为复杂网络同步、多智能体的协同控制设计提供理论依据和方法上的指导。

中文关键词： 复杂网络；同步；多智能体系统；一致；

英文摘要： Synchronization of complex networks and consensus of multi-agent systems is a hot research topic in the field of complex systems in recent years. This project is aimed to study the problem of synchronization of complex networks and consensus of multi-agent systems by utilizing the methods of stochastic process, control theory, graph theory and matrix analysis. First, in order to establish the model of networks and multi-agent systems under random communication constraints, we will employ Bernoulli variables with constant expectation, Bernoulli variables with time-varying expectation and Markov chain to characterize different random communication constraints, such as randomly occurring communication delay, randomly occurring self-feedback delay, randomly occurring sensor saturation, state-dependent noise and random packet dropout. Second, the problem of synchronization of complex networks and consensus of multi-agent systems under one or multiple randomly occurring events will be investigated by using control theory, stochastic differential equation, graph theory and Razumikhin method. By this way, the impacts of randomly occurring events on the performance of synchronization and consensus will be revealed. Finally, based on the above results, we further utilize evolutionary computation methods to investigate the

英文关键词： complex networks；synchronization；multi-agent systems；consensus；