This paper presents the stability theorem of cellular neural networks(CNN) with a multi-step output function.
本文给出了带阶梯输出 函数的细胞神经网络（CNN）的稳定性定理。
By using a finite time stability theorem, it is proved that the closed loop system is globally finite time stable.
根据有限时间稳定性定理证明此时闭环系统是全局有限时间稳定的。
The results show that the stability analysis theorem is consistent with the Liapunov stability theorem for linear systems.
结果表明：该分析定理与线性系统的李雅普诺夫稳定性定理是一致的。
The energy equilibrium model—The stability theorem on the strained quantum well structure materials have been introduced in the paper.
介绍应变量子阱材料的稳定性理论——能量平衡模型；
By using Lyapunov stability theorem, both the stability of closed-loop system and the asymptotical convergence of tracking errors are ensured.
李亚普诺夫稳定性定理保证了闭环系统的稳定性及跟踪误差的渐近收敛。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
A new general arithmetic to design speed estimation arithmetic of asynchronous motor based on the absolutely stability theorem of nonlinear system is introduced.
基于非线性控制系统的绝对稳定性定理，提出了一种新的通用异步电机转速自适应辨识方法。
Methods the maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
Stability and convergence of the model are proven by means of the weak convergence theorem of generalized function and the convolved integration theory.
由广义函数弱收敛定理和卷积理论，证明所提出的非局部连续模型具备收敛性和稳定性。
The theorem of minimum entropy production and its implication to stability of nonequilibrium stationary states are examined.
分析了最小熵产生定理的适用范围和它与非平衡定态稳定性的关系。
In this paper, a theorem on stability of discrete linear time-invariable systems is presented.
本文给出了关于离散定常线性系统的稳定性的一个定理。
To ensure stability of the NNA, the convergence theorem of the NNA is presented and proved.
为保证该算法的稳定性，提出并证明了该算法的收敛定理。
The upper bound and lower bound theorem of classical plasticity theory and corresponding FEM is applied to analyze the bearing capacity of gravity dam for judging the stability of the dam.
应用结构塑性极限分析的上、下限定理及相应的有限元法分析重力坝的极限承载能力，以判断大坝的稳定性。
The slope stability analysis is studied with the nonlinear failure criterion based on the plastic upper limit theorem.
利用塑性分析上限定理，考虑岩土介质本身的非线性破坏准则，对各种不同破裂面边坡稳定性分析进行研究。
The method of singular Lyapunov's function is employed to study the singular nonlinear discrete systems, the theorem of stability and the theorem of no stability on it are given.
利用广义李雅普·诺夫方法，研究了广义非线性离散系统，给出了广义非线性离散系统稳定性定理和不稳定性定理。
A theorem of the existence of stability rectangular polytope for the given perturbation is presented. The application of algorithm given is illustrated by numerical example.
对于所给的扰动建立了稳定空间的存在性定理，给出鲁棒反馈增益阵的算法及计算实例。
The Krasophuskii theorem about stability of time-varying systems finds wide application.
本文推广了时变系统的克拉索夫斯基定理。
This paper gives one determining theorem for asymptotic stability of partial variables and develops the results recorded in the related papers.
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。
The stability problems of steel structure are studied using the method of probability analysis and stability lower bound theorem from three respects.
本文以概率分析及安定下限定理的分析方法，从三个方面对钢结构的安定问题进行了研究。
Some concise stability criterions for uniformly asymptotic stability of the zero solution of this systems are obtained by using Razumikhin technical and the related theorem of stability.
文章讨论了一类变系数变时滞微分系统的一致渐近稳定性，利用拉兹密辛型条件及稳定性的有关理论，得到了该系统零解的一致渐近稳定性的简明判据。
An improved adaptive harmonic detection method based on least squares algorithm was presented, its stability is proved by averaging theorem of dynamical system theory.
提出了一种基于最小二乘法的自适应谐波检测方法，并利用动力系统的均值理论证明了该方法的稳定性。
Using comparison theorem and some properties of the matrix norm and the matrix measure, the paper provides several stability conditions for single and symmetric composite uncertain delay systems.
利用比较定理、矩阵范数和矩阵测度的有关性质，提出了简单不确定时滞系统及对称组合不确定时滞系统的稳定条件。
Safety factors of slope stability analysis and limit bearing capacities of footings were solved by adopting lower bound theorem of limit analysis.
采用极限分析下限原理求解了岩土工程中基础的极限载力和边坡的安全系数。
Through the introduction of main limit analysis theorem, this paper deduces the calculating equation of highway slope critical height in accordance with the two main stability failure.
通过对极限分析法主要定理的介绍 ，针对公路边坡失稳的两种主要情况 ，详细地推导出了公路边坡临界高度的计算公式 。
Through the introduction of main limit analysis theorem, this paper deduces the calculating equation of highway slope critical height in accordance with the two main stability failure.
通过对极限分析法主要定理的介绍 ，针对公路边坡失稳的两种主要情况 ，详细地推导出了公路边坡临界高度的计算公式 。
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