多智能体网络系统的能控性研究

In the networked multi-agent system which is closely related to the field of biological and modern engineering, a fundamental problem is how the networked system can be controlled by directly manipulating only some of the agents. Such effective control of networked systems relies heavily on the reasonable design and organization of the network. The project combines network topology structures with network design in the controllability investigation, and in such a way understands what kind of topology and organization the network should have in the realization of system performance. To this end, the project will first explore the general property of controllability. The characteristics and properties of controllability will be evaluated in a unified way with respect to several aspects of the system such as protocols design, topology structures, system dimension and leaders' selection etc. Then the relationship between network topology division and controllability will be explored in depth in the project in order to create conditions for the implementation of control directly from the network level. After that, the project will focus on leaders' selection in the controllability as well as the relevant robustness problem. This will improve the implementation of the control of the system by means of leaders, and make the system run more in line with the actual needs. These studies will promote a better understanding of the operating mechanism of the networked multi-agent system, and rich ways and means in the control of the system.

在与生物和现代工程等领域密切相关的多智能体网络系统中，一个关键问题就是如何通过仅仅控制少数个体来调控整个网络系统的行为。这种对网络系统施加有效控制的实现离不开网络的合理组织和设计。本项目通过能控性途径将网络拓扑结构与网络的设计相结合，以此种方式探讨在系统性能的实现过程中网络应具备何种拓扑结构和组织形式。为此，在项目中将首先研究系统能控的一般性质，从协议设计、拓扑结构、系统维数和领航者选取等多个方面统一认识能控性的性质和特点；继而深入认识网络拓扑结构划分与系统能控的关系，为直接从图网络层面上对系统实施控制创造条件；然后专注于能控性问题中领航者选取方法的研究，同时深入研究与能控性相关的鲁棒性能，以完善通过领航者对系统实行控制的方式，使系统的运行更符合实际需求。这些研究有助于人们更好地理解多智能体网络系统的运行机制，并能丰富控制系统的方式和方法。

在与生物和现代工程等领域密切相关的多智能体网络系统中，一个关键问题就是如何通过仅仅控制少数个体来调控整个网络系统的行为。这种对网络系统施加有效控制的实现离不开网络的合理组织和设计。本项目通过能控性途径将网络拓扑结构与网络的设计相结合，以此种方式探讨在系统性能的实现过程中网络应具备何种拓扑结构和组织形式。为此，在项目中首先研究了系统能控的一般性质，从协议设计、拓扑结构、系统维数和领航者选取等多个方面统一认识能控性的性质和特点; 继而深入认识了网络拓扑结构划分与系统能控的关系，为直接从图网络层面上对系统实施控制创造了条件; 然后专注于能控性问题中领航者选取方法的研究，同时深入研究与能控性相关的鲁棒性能，以完善通过领航者对系统实行控制的方式，使系统的运行更符合实际需求。这些研究有助于人们更好地理解多智能体网络系统的运行机制，并且丰富了控制系统的方式和方法。