1) Like Liapunov function
类Liapunov泛函
2) Liapunov functional
Liapunov泛函
1.
By constructing Liapunov functional we study the globally asymptotically stability of the nonnegative constant equilibria.
考虑人口的出生和自然死亡等因素,但总人口是常数的SIRS模型,并添加对空间的扩散项,通过构造Liapunov泛函,得到其非负常数平衡解的全局渐近稳定性。
2.
For linear functional differential equation: x·(t)=-a(t)x(t)-b(t)x(t-τ), a Liapunov functional is constructed.
讨论了含有一个滞量的线性、非线性泛函微分方程零解的全局吸引性,对于线性泛函微分方程,x·(t)=-a(t)x(t)-b(t)x(t-τ),构造了Liapunov泛函,利用Liapunov稳定性定理,得到了线性泛函微分方程零解全局吸引的一个充分条件,同时将这一结论应用于非线性方程x·(t)=F(t,x(t),x(t-τ))和x·(t)=f(x(t-τ)),证明了在一定条件下它的零解是全局吸引的。
3.
By constructing Liapunov functional, the existence and attractivity of almost periodic solutions of a neural network is studied as follows dxdt=-x(t)+atanh[y(t)-by(t-τ)]+I 1(t) dydt=-y(t)+atanh[x(t)-bx(t-τ)]+I 2(t) and some sufficient conditions are obtained to ensure the network has a unique almost periodic solution, and all its solutions converge to such an almost periodic solution are obtained.
通过构造Liapunov泛函 ,研究如下二元神经网络dxdt=-x(t) +atanh[y(t) -by(t-τ) ]+I1(t)dydt=-y(t) +atanh[x(t) -bx(t-τ) ]+I2 (t) 概周期解的存在性和全局吸引性 ,获得了该网络存在唯一概周期解的充分条件和所有解收敛于此概周期解的充分条件 。
3) Liapunov function
Liapunov泛函
1.
By means of the Liapunov functions and the technique of inequality point,some stable sufficient conditions of cellular neural networks are obtained.
通过使用构造适当的Liapunov泛函的分析技巧和一些变换算法对细胞神经网络的数学模型进行了研究,证明了细胞神经网络平衡点的存在性,给出了细胞神经网络的平衡点是全局渐近稳定的平衡点的条件。
2.
By making use of the Liapunov functions and the technique of inequality analysis, some sufficient conditions for stability of cellular neural networks are obtained.
通过构造适当的Liapunov泛函采用一些变换算法并结合不等式分析技巧,进一步探讨了细胞神经网络的稳定性条件。
3.
By use of liapunov function method on the following neutral differential equation with variable delays dd t[x(t)+ax(t τ(t))]=bx(t)+cx(t τ 1(t))this paper made a simple criterion to judge its solution in global attractability.
利用构造Liapunov泛函的方法 ,给出了中立型变时滞微分方程 ddt[x(t) +ax(t τ(t) ) ]=bx(t) +cx(t τ1(t) )零解大范围吸引的一个简洁、易于验证的判定准
4) Liapunov Functional/function
Liapunov泛函/函数
5) matrix Lyapunov functional
矩阵Liapunov泛函
1.
The ideas of a generalized matrix valued norm space and matrix Lyapunov functional have been proposed.
在矩阵值范数定义的广义赋范空间上利用矩阵Liapunov泛函研究了时滞矩阵微分方程的等度稳定性,得出了若干新结果。
6) Liapunov-like functional
类Lyapunov泛函
补充资料：类函
1.类书的汇集。常用为类书名。如《唐类函》﹑《渊鉴类函》等。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条