中文摘要：

由于线性离散周期时变系统在理论和实践双重方面的重要意义,因此成为控制领域研究的重要课题.本文对目前线性离散周期系统的研究成果加以总结.以系统分析和综合为线索,着重介绍了线性离散周期系统的时不变重构、系统的结构属性、稳定性、零点、极点、模型降解及实现、故障诊断等问题所存在的典型方法.并对线性离散周期系统领域仍存在的问题和未来的发展方向作了进一步的展望.

英文摘要：

Due to its high importance in theory and practice,the research on discrete linear periodic systems is one of the most important topic in the control field.The existing results on this type of systems are summarized,and the main methods about several hot spots are introduced.These hot spots include invariant reconstruction,structure properties,stability,zeros and poles,model reduction and realization,fault diagnosis,and so on.The problems to be solved and the research trend are prospected at the end of this paper.