中文摘要：

稳定性是控制系统的关键性能,也是系统能够正常运行的首要条件。如何分析系统的稳定性并提出保证系统稳定的措施,是控制理论的基本任务。本文分别总结了基于经典控制理论和现代控制理论的线性系统稳定性判据理论,主要包括劳斯稳定判据、奈奎斯特判据、对数判据和李雅普诺夫判据,并给出数值例子。

英文摘要：

Stability is the key performance of the control system, which is also the primary condition of the system in order to keep normal operation. The chief tasks in control theory are how to analyze the stability of system and propose measures to guarantee a stable system. This paper summarizes the stability criterion of linear control system based on classical control theory and modem control theory respectively, it mainly includes Routh stability criterion, Nyquist stability criterion, Logarithmic criterion and Lyapunov criterion and finally the numerical examples are given.