近年，动态网络的事件触发的控制(event-triggered control)正成为控制界的一个研究热点，但研究常需要网络的子系统具有（拟）线性结构或具有稳定性等特性，而对具有复杂混合结构的混合系统与网络，此方面的成果较少。因缺乏混合系统与网络的基于事件的稳定性分析成果，致使单一的事件触发控制方案难以适应网络的复杂结构。本项目就是研究混合系统与网络基于事件的稳定性与控制问题。它的研究对于发展新的混合控制理论与方法，解决和处理涉及系统多种复杂现象的管理与控制问题，具有重要的理论与实际意义。由于混合系统与网络结构的复杂性和多种动态行为，其基于事件的稳定性分析难度较大，极具挑战性。项目将利用申请人最近提出的混合-事件-时间Lyapunov函数(HTLF)等方法，深入系统地分析混合系统与网络基于事件的稳定性，设计基于事件的混合控制方案，并应用到动态网络如微电网的基于事件的控制中。

Recently, the event-triggered control of dynamical networks is being one of active area of research in control field. But the research often requires networks having subsystems which are in form of (quasi-) linear structure and have stability property. There are fewer results on ETC reported for hybrid systems and networks with complex structures. Because there lack of the analysis results on events based stability for such kind of systems, the single scheme of event-triggered control is hardly suitable for the complex structures of the networks. This project aims to investigate the issues on events based stability and relevant control for hybrid systems and networks. On aspects of developing new hybrid control theory and methods, solving and dealing with the issues of management and control related to multiple complex phenomena existing in systems, the research in this project has very important theoretical and practical significance. However, since the complex structures and multiple dynamical behaviours, it is very hard to analyse the events based stability for hybrid systems and networks and thus it is full of challenge. This project will employ the methods such as the hybrid-event-time Lyapunov function (HTLF) approach proposed very recently by the applicant to investigate deeply and systematically the issue of events based stability for hybrid systems and networks. Then design the schemes of events based hybrid control and apply the obtained results to control dynamical networks, e.g., micro-grids.