机构地区: 广州大学
出 处: 《广州大学学报(自然科学版)》 2017年第5期12-16,共5页
摘 要: 线性时变连续系统状态方程的求解是一个有着广泛应用价值且具有挑战性的难题,至今未得解决.文章采用待定系数法解决了这一难题.求解的步骤如下:(1)建立一个具有待定系数的微分方程,(2)通过设定系数使得所建立的方程与原二阶变系数方程等价,(3)通过求得等价方程的解从而得到状态方程的解. The solution to linear time-varying continuous state equation is a widely used but challenging problem,which calls for the intervention of undetermined coefficients. First of all,it is necessary to establish a differential equation with undetermined coefficient,set the coefficient between the constructed equation with two order variable equation,finally obtain solution to state equation by equivalent equations.