查询词典 stability conditions

Most LDO regulators before are off-chip so that they are hard to meet the demands of SOC solutions. This thesis is target on SOC applications and analyzes the challenges of stability, transient regulation and line regulation, etc. Trade-off relations between different characterizations are seriously discussed. In order to meet the demand of high precision and self-stability, a newly LDO structure is proposed and design process is carefully described, which manifest many design points. A PMOS is chosen to be the output transistor of this on-chip LDO. To maintain stability, miller capacitor in serious with nulling resistor is used.

以往的LDO大多作为一块独立的芯片难于实现SOC的解决方案，而本文针对集成于SOC的特定应用要求，分析了片上低压降电源调节器在稳定性、瞬态调节、电源调节等诸多方面的难点，论证了各个难点之间所存在的相互折中关系，定义了设计的性能指标，在此基础上，为实现一种高精度、自稳定的片上LDO而提出了一种合理的电路结构，详细描述了电路器件在尺寸选取方面的设计过程，突出了片上LDO中几个主要模块的设计重点。

However, as we know, the stability condition obtained by method of linear stability is only necessary condition for stability, while subcritical instability cannot be excluded.

Xu[2]用推广的能量方法对该问题的非线性进行了研究，通过定义一个能量泛函，给出当参数时静止状态非线性稳定的充分条件。

Meanwhile,we establishψfunctional stability which is more general than the classical exponential stability and polynomially stability.

我们通过对几类方程的讨论，将不同的渐近稳定性借助于&ψ函数&归结为一种&ψ函数稳定性&。

The conditions for the global asymptotic stability of the equilibrium point are expressed as the stability of the some decomposed matrix.

这种方法以矩阵分解为工具，结合平衡点的渐进稳定判据，用分解矩阵的稳定性决定平衡点的全局渐近稳定性。

The stability analysis of reversed austenite shows that the optimized stability can not be observed under the conditions provided in this work.

对稳定性的分析显示，在本文的工艺条件下，回转奥氏体的稳定性均未达到最佳。

A fixed point of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i.e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况，利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性，利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

As to problem of time varying delay existing in NCSs, a time-varying model including certain system and uncertain system are constructed firstly, and then stability and stabilization of these systems are discussed based on time-delay system theory, cone convex optimization theory and free weighting matrices approach. Conditions of time-dependent stability and stabilization with less conservative are given in the form of linear matrix inequalities.

针对网络时滞问题建立了时变时滞NCSs的模型(包括确定系统和不确定系统)，然后利用时滞系统理论、锥补线性化方法和自由权矩阵方法研究了NCSs的稳定性和镇定性问题，并基于LMIs形式给出具有较小保守性的时滞相关稳定和镇定条件。

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

The model in this paper takes the form as belowThe main contents and results in this paper are as follows:In section 1, we state our main analytical results on equilibria of the above system. First, several sufficient conditions for coexistence of the steady-state are given by the standard fixed-point index theory in cone. Second, the global structure of the coexistence solutions and their local stability are established by using bifurcation theory. Third, the multiplicity, uniqueness and stability of positive steady-state solutions to this system are derived by means of perturbation theory of eigenvalues, standard regularity theory, Sobolev embedding theorem and fixed-point index theory.

本文主要有两章内容：第一章研究了该模型正平衡解的性质，可分为三部分：第一部分运用极值原理、上下解方法和锥映射不动点指标理论得到正平衡解存在的充分条件；第二部分利用分歧理论给出了平衡态系统正分歧解的结构，并讨论了局部分歧解的稳定性；第三部分利用特征值扰动理论、标准椭圆正则化理论、Sobolev嵌入定理及指标理论讨论了正平衡解的多重性、唯一性及稳定性，并讨论了参数对解的影响。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。