研究了带时变时滞的递归神经网络的全局渐近稳定性。
The problem of the globally asymptotical stability of recurrent neural networks with time varying delay is investigated.
分析了系统的非负不变性、边界平衡点性质及全局渐近稳定性。
Mathematical analyses of the model equations with regard to invariance of non-negativity, nature of equilibria and global stability are analyzed.
本文讨论了几个特殊的二维驻定方程组解的全局渐近稳定性问题。
In this paper, the problem about asymptotic stability in the large of the solution of several particular two-dimensional autonomous systems is discussed.
无限区间上s -分布时滞广义递归神经网络模型概周期解的全局渐近稳定性。
Global asymptotic stability of general recurrent neural network models with S-type distributed delays on infinite intervals.
本文提出了一个简单的关于控制增益的条件，保证了闭环系统的全局渐近稳定性。
We give a simple sufficient condition on control gain that guarantees globally asymptotical stability of closed loop system.
第四章研究了一类具有反应扩散项的分布时滞模糊bam神经网络的全局渐近稳定性。
Chapter 4 introduces global asymptotic stability of a class of fuzzy BAM neural networks with distributed delays and reaction-diffusion terms.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
通过构造函数及根据不变集原理证明了无病平衡点和地方病平衡点的全局渐近稳定性；
Then the disease-free equilibrium point and endemic equilibrium point were proved with global asymptotic stability by constructing functions and basing on the invariant set principle.
对差分方程的研究就是讨论它的解的最终性态，包括振动性、循环长度及全局渐近稳定性等。
The investigation on difference equation is to discuss its eventually behavior of the solutions, including oscillation, cycle length and global asymptotic stability, etc.
它们具有全局渐近稳定性，且通过配置估值器的极点可按指数衰减速率使初始状态估值的影响快速消失。
They have globally asymptotic stability, and can forget the effect of the initial state estimates at an exponentially decaying rate by assigning the poles of the estimators.
运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。
Global asymptotic stability of a class of nonlinear rational difference equations was studied by means of setting up an auxiliary equation, so that a sufficient condition was obtained.
这种方法以矩阵分解为工具，结合平衡点的渐近稳定判据，用分解矩阵的稳定性决定平衡点的全局渐近稳定性。
This method takes the matrix resolving as a tool, combined with criterion of progressive stability and determines the equilibrium point by stability of matrix resolving.
讨论了一类带有扩散和具有阶段结构与时滞的两种群捕食系统，分析了该系统的非负不变性、边界平衡点性质及全局渐近稳定性。
A system of retarted functional differential equations as a predator-prey model with stage structure and dispersion is discussed. Conditions for global stability of the system are given.
研究了一类具有S -分布时滞的区间细胞神经网络的全局渐近鲁棒稳定性问题，得到了实用有效的判别准则并给出了实例。
The global asymptotic robust stability of interval cellular neural networks with S-type distributed delays is investigated. The convenient criteria and an example are presented.
用李雅普·诺夫候选函数方法，得出了在该控制律作用下的闭环系统在原点具有全局一致渐近稳定性的结论。
By Lyapunov candidate function method, this paper concludes that the closed-loop system is globally uniformly asymptotically stable at origin.
用李雅普·诺夫候选函数方法，得出了在该控制律作用下的闭环系统在原点具有全局一致渐近稳定性的结论。
By Lyapunov candidate function method, this paper concludes that the closed-loop system is globally uniformly asymptotically stable at origin.
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