【摘要】 本文利用Lyapunov方法对二次滞后离散奇异系统进行定性、定量分析并给出了该类系统的零解一致稳定吸引域和渐近稳定吸引域的定量估计.当初始扰动是在渐近稳定吸引域时,二次时滞离散广义系统的初始值问题的解趋于零.发现这些判据与滞后无关,容易测试,便于工程上的应用.通过示例描述了该方法的应用.更多还原

【Abstract】 This paper analyses in qualities and quantities the quadratic delay discrete singular systems by using Lyapunov’s method, and estimates quantitatively the uniformly stable attractive region and asymptotically stable attractive region around zero for the quadratic delay discrete singular systems. When the initial disturbance is in the asymptotically stable attractive region, the solution of the initial value problem of the quadratic delay discrete singular systems approaches zero. It follows that the criteria are independent of the delay, easily tested, and convenient to apply in engineering. An example is given to illustrate the application of our method.更多还原