线性时不变系统稳定性控制研究及应用

Research and Application of Stability Control for Linear Time-invariant System

利用动力学原理和方法,给出了一类线性时不变系统稳定性控制的判断依据。若原系统不稳定,利用开环加反馈的方法使系统达到渐近稳定。作为应用,对状态变动的时间序列运用SPSS软件的回归分析得到状态变量以及输入变量的常系数矩阵,研究了上海养老保险基金模型的稳定性控制。

Using the theory and methods of dynamics,a basis of judgment for the stability control of a linear time-invariant system was presented. If the original system is unstable, the system can reach asymptotic stability by the method of open-loop plus feedback. As an application, after the regression analysis of state changes was carried out by using SPSS,the coefficient matrix for state variables and input variables was achieved. The stability control of Shanghai＇s pension fund model was studied.