In this paper, we investigate the stability analysis for interconnected system, which is composed of multiple subsystems with sampled-data control and state quantization. The controlled interconnected system is modeled as a time-delay system with time-varying delays. By employing the information of sampling instants, a discontinuous Lyapunov functional is constructed. Using this functional, we derive tractable sufficient conditions to ensure the well-posedness and asymptotic stability of the considered system by taking the interconnected structure into consideration. These conditions depend only on the sampling interval, quantizer parameters and matrices parameters of individual subsystem, making them attractive in computation verification for large scale interconnected system. Furthermore, a grid search based optimization algorithm is proposed to reduce the total number of sampled data for the whole system. The effectiveness and applicability of the main results are shown by two examples.

在本文中，我们研究了互连系统的稳定性分析，该系统由具有采样数据控制和状态量化的多个子系统组成。受控互连系统被建模为具有时变延迟的时滞系统。利用采样时刻的信息，构造了一个不连续的Lyapunov泛函。使用这个泛函，我们推导出易处理的充分条件，以通过考虑互连结构来确保所考虑系统的适定性和渐近稳定性。这些条件仅取决于各个子系统的采样间隔、量化器参数和矩阵参数，使其在大规模互连系统的计算验证中具有吸引力。此外，提出了一种基于网格搜索的优化算法，以减少整个系统的采样数据总数。通过两个实例说明了主要结果的有效性和适用性。