渐进稳定性与BIBO稳定性的讨论

Discussion about Asymptotic Stability and BIBO Stability

线性时不变系统的稳定性分析是"信号与系统"课程的重要知识点之一。系统的稳定性分为外部稳定性与内部稳定性两个方面,分别对应有界输入产生有界输出的稳定性及渐进稳定性。本文总结了两类稳定性定义和主要判别方法,同时对两者的联系与区别进行了讨论,并给出相应的实例阐述二类稳定性判别方法。

Analysis of stability forlinear time-invariant system is one of important contents for signal and system.External stability and internal stability are two cases for system,which are bounded input to bounded output stability and asymptotic stability respectively.The definitions and discrimination criterions are summarized for two classes of stability.In addition,the correlation and difference between them are discussed.Some examples are presented to indicate how to determine the stability for linear time-invariant system.