一类线性时变系统线性化稳定性分析方法的讨论

A discussion on methodologies for stability analyzing by linearization in a certain linear time-varying system

非线性系统在平衡点处可通过线性化稳定性分析来判定系统在该平衡点处的稳定性。基于验证线性化稳定性分析方法在线性时变系统中是否适用的目的,采用了线性化方法分析了一类线性时变系统的稳定性,并通过举例说明,证明了该方法对这类线性时变系统稳定性分析的局限性。

Nonlinear system stability around the equilibrium point can be determined by linearization.In order to validate the linearization method for the stability analyzing in linear time-varying system,a certain linear time-varying system stability is studied and analyzed by linearization.Illustration proves that the linearization method is limited for linear time-varying system stability analyzing.