确定非线性动态系统的吸引域是控制理论和工程的基础问题之一,目前这个问题仍旧在很多工程研究领域扮演着重要的角色。本文从吸引域的概念入手,首先介绍了吸引域估计的研究进展,进而使用平方和规划方法研究了吸引域的估计方法,提出了线性V-S迭代迭代方法,示例表明基于平方和规划的方法与现有方法相比具有实用性和先进性。 Determining the attracting domain of nonlinear dynamical systems is one of the basic problems in control theory and engineering. Currently, however, this problem still plays an important role in many engineering researches. Starting with the concept of attracting domain, this paper firstly introduces the research progress of attracting domain estimation, and then studies the method of estimating the attracting domain using the method of square sum and the method of linear VS iterative iteration. The example shows that the method based on the sum of squares Compared with the method has practicality and advanced.