吸引域(basin or domain of attraction)亦称吸引区，动态系统术语，一种与特定吸引集密切相关的集合。
Lyapunov method is applied to obtain the exponential stability conditions, with the approaches for calculating and tuning the domain of attraction given.
采用Lyapunov方法得到了指数稳定条件,并给出了吸引域的计算和调整方法。
参考来源 - 基于输入非线性MPC的过程控制系统研究In this dissertation we study optimal control, stability and estimates of the region of attraction of switched sytems.
本文研究了切换系统的最优控制、稳定性和吸引域的估计等问题。
参考来源 - 切换系统的最优控制和稳定性The attraction basin of each equilibrium point is also estimated. By time reversal, we get that the stable manifolds of the unstable equilibria precisely comprise of the bounds of each attractor in the case of n = 2.
在对每个平衡点的吸引域进行分析的同时,基于时间反演理论,可以证明对于二维神经网络,不稳定平衡点的稳定流形恰好构成稳定平衡点的吸引域的边界。
参考来源 - 神经网络的动力学分析及稳定性研究Furthermore, the multi-solutions’coexistence and domain of attraction variate with parameter are researched by using cell-mapping method of nonsmooth systems, and it is found that this variation has relation to the leap phenomenon after comparing with Poincarémap figures.
接着用非光滑动力系统胞映射方法研究了该系统的共存吸引子、吸引域随参数变化的规律,并将这些吸引域图与Poincaré映射分岔图进行对照,发现了吸引域的变化和系统分岔图中出现跳跃现象之间的联系。
参考来源 - 非光滑动力系统胞映射计算方法和粘滞运动研究The global and local behaviors of a class of a predator-prey model with Bedding functional response is studied in this passage. That the attraction domain exists in the first quadrant and all positive soluions are of strong persistence are proved.
第三章研究了一类捕食者具有Beddington类功能反应函数的食饵—捕食系统在不同斑块环境下的整体与局部性态：证明了该模型在第一象限内存在一个吸引域,且它的一切正解是长久存在的；讨论了当系统满足一定的条件时,系统的正平衡点是局部渐近稳定的,补充和完善了张兴安、陈兰荪等人的结果。
参考来源 - 两种群捕食系统在不同斑块环境中的扩散作用The attraction basin of each equilibrium point is also estimated. By time reversal, we get that the stable manifolds of the unstable equilibria precisely comprise of the bounds of each attractor in the case of n = 2.
在对每个平衡点的吸引域进行分析的同时,基于时间反演理论,可以证明对于二维神经网络,不稳定平衡点的稳定流形恰好构成稳定平衡点的吸引域的边界。
参考来源 - 神经网络的动力学分析及稳定性研究·2,447,543篇论文数据，部分数据来源于NoteExpress
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