查询词典 stability conditions

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。

Also the problems of stochastic controllability, observability and stability of the filter are studied, a simple observability criterion for the time-invariant systems is set up, error band of the filtering is given theoretically, and the filtering stability results are proved under more general conditions; besides, the filtering error caused by uncorrect mathematical models is analysed.

本文还研究了随机能控能观性及滤波的稳定性问题，建立了结构简单的平稳定常系统的能观性判据，在理论上给出了滤波算法的误差范围，在更一般的条件下证明了最优滤波算法的稳定性；并从理论上分析了模型误差对滤波产生的影响。

The simulation results show that the stability augment controller has good stability under three kinds of designing conditions and it can track the external input command rapidly and soundly. It is also able to inhibit the external disturbance quite well.

仿真结果表明，所设计的鲁棒控制器在理想条件和受干扰条件下均具有良好的稳定性，而且均能很快很好的跟踪外部输入指令，对系统不确定性都有很好的鲁棒性，能很好的抑制外部干扰。

According to the conditions of topography,geological structure,climate,hydrology and engineering geology,the main factors influencing the slope stability of the Grand Buddha rock mass are discussed;the generalized model of the slope for stability analysis is set up,and the main working situations of the slope are put forward.

根据太原晋阳西山大佛所处的地形地貌、地质构造、气象水文条件和场地工程地质条件，分析影响大佛边坡岩体稳定性的主要因素，建立大佛松动岩体边坡稳定性分析概化模型，提出大佛边坡岩体所处的主要工况类型。

Based on the Method of Lyapunov function and interval analysis technique,soMe sufficient conditions of robust absolute stability for the interval Lurie systeM are obtained,which reduces the conservatisM in robustness tests of absolute stability.

用Lyapunov函数方法和区间分析技术，得到了区间Lurie系统鲁棒绝对稳定的一些充分条件，这些条件减少了绝对稳定鲁棒检测的保守性。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。