动态群系统的群能控性与群稳定性研究

项目名称： 动态群系统的群能控性与群稳定性研究

项目编号： No.61263002

项目类型： 地区科学基金项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 蔡宁

作者单位： 西北民族大学

项目金额： 43万元

中文摘要： 关于动态群系统的研究是对传统控制理论的拓展，具有广泛的应用前景，因此近年已成为国际控制理论界最活跃的方向之一。能控性和稳定性作为控制系统分析的两个基本方面，在群系统上都出现了新的含义、新的内容。群能控性的核心是网络拓扑的能控性问题。目前学术界研究不多，尚无成熟结果。群稳定性的核心是群集。目前学术界针对高阶线性定常系统的一致性理论已经成熟，然而对于非一致性的一般群稳定性问题尚存在很大探索空间。本项目将基于申请人和项目组的已有研究成果，针对群能控性与群稳定性问题进行深入探索。关于群能控性问题，我们将主要探讨网络能控性与网络通信图拓扑结构之间的关系。群稳定问题将具体包括存在通信图不确定性及个体模型不确定性时的系统状态群稳定性条件；输出群稳定问题；具有个体自主运动的非线性异质群系统状态群稳定性条件。在此基础上，进而研究分散式镇定控制器设计问题以及基于动态群系统建模的城乡劳动力转移现象。

中文关键词： 群稳定性；网络；能控性；控制器；

英文摘要： Theory about dynamical swarm systems is an extension to traditional control theory, with potential reference to broad application areas. Therefore, it has become one of the most active directions in the field of automatic control during the last five years. As the two fundamental aspects of control systems analysis, both controllability and stability obtain new meanings and new contents for swarm systems. The key for swarm controllability is the controllability of specific network topology. On this problem, there are few articles in the literature, without theoretically complete results. The key for swarm stability is cohesion. Theory of consensus as a particular instance of swarm stability has been fully developed for high-order linear time-invariant swarm systems. However, the general swarm stability problem including diverse non-consensus cases still requires further exploration. The current project will endeavor to respectively investigate swarm controllability and swarm stability problems on the basis of our previous work. For the swarm controllability problem, we shall endeavor to reveal the relationship between the controllability of a network and the network topology. The swarm stability problems that will be concerned include the robust swarm stability condition for systems with uncertain network topolo

英文关键词： Swarm Stability；Network；Controllability；Controller；