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关于变系数线性微分方程的稳定性
On the Stability of Linear Differential Equation with Varying Coefficients
【摘要】 本文用矩阵测度和比较定理给出了变系数线性微分方程稳定性的一个简洁判据,对周期系数的线性微分方程给出了较为精确的渐近稳定判据,推广和改进了文[1]的工作.
【Abstract】 In this paper,we investigate the stability of the linear differential equation with varying coefficients x(t) = A (t)x. Some simple criteria of stability are given. In addition,for the linear differential equation with periodic coefficients one of the more exact criteria of asymptotic stability is given by matrix measure and comparison theory. The results of paper[1] are extended and improved.
【关键词】 变系数线性方程;
稳定性;
矩阵测度;
【Key words】 linear equation with varying coefficients; stability; matrix measure;
【Key words】 linear equation with varying coefficients; stability; matrix measure;
【基金】 上海铁道大学科技发展基金!29823
- 【文献出处】 控制理论与应用 ,CONTROL THEORY & APPLICATIONS , 编辑部邮箱 ,1998年04期
- 【分类号】O175
- 【被引频次】2
- 【下载频次】135