通信资源和网络带宽若不能满足信息传输的需求势必会造成通信受限，进而影响信息的获取和应用。通信受限网络系统的控制研究旨在解决通信受限引发的网络系统性能下降和不稳定等一系列问题。有限时间控制凭借最优的收敛速率虽然能快速实现对部分网络系统的控制，但要对通信受限网络系统实施有效控制还需解决一些关键问题。本项目在通信受限下基于时滞、随机和不连续网络系统开展有限时间控制及其优化研究,针对经典的有限时间稳定性定理不适用于研究时滞系统的有限时间同步，项目发展时滞系统有限时间控制的分析方法；针对现有方法处理随机扰动和不连续函数时会造成较大保守性，项目提出降低保守性的证明策略；针对同步时间估计受系统参数和控制参数的影响，项目借助于优化技术提高同步时间估计的精确性，并优化控制设计和性能。项目的研究结果将丰富网络系统和有限时间控制理论，并且将其应用到保密通信则可保证在给定的时间内接收到加密信号。

If communication sources and network bandwidth cannot meet the demands of transmission, then communication constraints will appear. As a result, information acquisition and application are influenced. If network systems are affected by communication constraints, some problems are inevitable. For example, network systems will become instability and their performances will decline. These can be overcome by use of the results that are obtained by investigating control of network systems with communication constraints. With the help of finite-time control which has optimal convergence speed, some network systems are controlled. However, it is necessary to solve some key issues if network systems with communication constraints can be controlled effectively by means of finite-time control. This project concerns finite-time control of network systems with communication constraints and the optimization of finite-time control. These network systems include delayed network systems, stochastic network systems and discontinuous network systems. For the classic finite-time stability theorem cannot be used to realize finite-time synchronization of delayed systems, analysis methods of finite-time control for delayed systems are developed. If some existing techniques are utilized to deal with stochastic perturbations and discontinuous activation function, more control gains are required. In this project, some schemes are proposed to reduce the conservativeness of control gains. Settling time of finite-time synchronization is dependent on parameters of systems and controllers. So, some optimization techniques are applied to improve the accuracy of settling time. Furthermore, control design and performance are optimized. The results of this project will enrich the theories of network systems and finite-time control. Moreover, if these theoretical results are applied to secure communication, then confidential signals can be received within a given time.