首先对闭环系统的渐近稳定性进行研究；
First the asymptotical stability was studied for the closed-loop system.
讨论了一类随机可变时滞系统解的渐近稳定性。
Asymptotic stability of the solution to a class of stochastic systems with variable delay is discussed.
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.
通过研究相应算子的谱特征得到该系统解的渐近稳定性。
Asymptotic stability of the solution of this system is obtained by studying spectral properties of the operator corresponding to this system.
同时，考虑了连续时间线性时不变系统的渐近稳定性问题。
In addition, we consider the asymptotic stability of continuous linear time-invariable systems.
同时，考虑了连续时间线性时不变系统的渐近稳定性问题。
In addition, the asymptotic stability of continuous linear time-invariable systems is studied.
它可统一处理滤波，平滑和预报问题，且具有渐近稳定性。
They can handle prediction, filtering, and smoothing problems in a unified frame work and have asymptotic stability.
它们可统一处理，滤波，平滑和预报问题，且具有渐近稳定性。
They can handle the prediction, filtering and smoothing problems in a unified frame work, and have asymptotic stability.
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.
本文研究了饱和状态反馈离散时滞线性系统的渐近稳定性问题。
This paper investigates the problem of asymptotic stability for discrete-time delay linear systems with saturated state feedback.
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.
此外，还进一步对无源系统的渐近稳定性的时滞依赖条件作了改进。
Furthermore, the improved delay-dependent condition of the asymptotic stability for the unforced system is put forward.
本文研究了非完全阻尼(部分阻尼)情况下力学系统的渐近稳定性问题。
In this paper the asymptotic stability of the partially damped linear mechanical system with gyroscopic forces is studied.
研究离散区间延迟系统的一种特殊形式的渐近稳定性。即分支渐近稳定性。
A special type of asymptotic stability namely componentwise asymptotic stability for discrete interval delay linear systems is investigated.
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.
这里构造了混合状态空间中的不变集，证明了系统在HDS意义下的渐近稳定性。
Invariant sets of HDS are constructed in hybrid state space, and then the system's asymptotic stability is proved in the sense of HDS.
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.
考察具有一对共轭纯虚数特征值的二维非线性临界解析动态系统的局部渐近稳定性。
The locally asymptotic stability of a 2-dimension nonlinear analytic dynamic system with a pair of conjugated imaginary eigenvalues is studied.
本文给出了一个关于部分变元渐近稳定性的判定定理，推广了有关文献中的有关结果。
This paper gives one determining theorem for asymptotic stability of partial variables and develops the results recorded in the related papers.
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.
利用李雅普诺夫渐近稳定性定理，很方便地实现了洛沦滋和类洛沦滋系统的混沌自同步。
Using the theory of Lyapunov asymptotic stability, the chaos self synchronization of Lorenz system and analogy Lorenz system are easily realized.
获得了解的整体存在惟一性，并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
提出一种统一处理系统最优滤波、预报和平滑估计的新方法，证明了新算法的渐近稳定性。
A unified algorithm to the optimal filtering, smoothing and prediction is presented, and the asymptotic stability for the initial value of the algorithm is proved.
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.
最后，利用李雅普诺夫函数概念和方法得到了闭环控制系统具有大域渐近稳定性的充分条件。
Finally, by using the concept and method of the Lyapunov function, a sufficient condition for the approximate stability in the large field of the closed-loop control system is derived.
通过分析二级结构单点悬浮控制系统的渐近稳定性和状态稳定区间，研究了系统的抗干扰能力。
The disturbance suppression performance of single point suspending control system is studied later by the asymptotic stability and state stability.
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.
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.
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