This paper examines the impact of coupling in a class of linear discrete-time systems with mode separation over networks. We provide a complete analysis and design treatment allowing at extending the stabilization control design to the corresponding synchronization problem. We deploy a time-scale separation of the whole network dynamics to synthesize the controls that synchronize both the slow and fast states. We show that the design implementation is cast as feedback simultaneous stabilization framework and cast as feasibility problem over finite number of linear matrix inequalities (LMIs). As demonstrated by simulation studies, the ensuing results provide designers with a network-centric technique guarantee stability and enhance the performance of considered coupled systems.

本文研究了在网络上具有模式分离的一类线性离散时间系统中耦合的影响。我们提供完整的分析和设计处理，允许将稳定控制设计扩展到相应的同步问题。我们部署了整个网络动态的时间尺度分离，以合成同步慢速和快速状态的控件。我们表明，设计实现被转换为反馈同时稳定框架，并被转换为有限数量的线性矩阵不等式 (LMI) 上的可行性问题。正如仿真研究所证明的那样，随后的结果为设计人员提供了一种以网络为中心的技术，可以保证稳定性并增强所考虑的耦合系统的性能。