查询词典 asymptotic stability

Stability shows asymptotic behaviors of a system. Chapter 3 discusses Sobolev-Galpern equation with pseudoparabolic characteristic, studies the stability under disturbance of the initial value, i.e., the Lyapunov stability problem, and shows the global asymptotic behavior of the trivial solution.

在第三章，本文考(来源：Ab6BC论文网www.abclunwen.com)察了具有伪抛物特性的Sobolev-Galpern方程关于初始值扰动下的稳定性问题，即Lyapunov稳定性问题，论证了其平凡解的全局渐近稳定性。

Modeling and stability analysis problem of linear switched system are emphasized in this part and main results include:(1) Through investigation in the projection of 〓 on x, where x denotes continuous state vector, a series of sufficient conditions for stability, asymptotic stability and unstability of linear switched system's equilibrium in the sense of Lyapunov are achieved. And also, a sufficient and necessary condition for state bounded stability of linear switched system is received.(2) For a class of periodical linear switched system whose switching sets are a group of ordinal lines starting from the original point, it's proved that state bounded stability can be defined by the running characteristic in a single period (3) Based on linear switched system, the concept of linear switched system network is put forward. Linear switched system network is a complex network interconnected by many linear switched systems.

这部分着重研究线性切换系统的建模与稳定性分析问题，主要成果包括：（1）通过考察〓在x上的投影，得到线性切换系统的平衡点在Lyapunov意义下稳定、渐近稳定及不稳定的一系列充分条件，并得到了线性切换系统状态有界稳定的一个充要条件；（2）证明了对于一类切换集为从原点出发的一组射线的周期线性切换系统，其状态有界稳定可根据一个周期内的系统运行特性来判定；（3）在线性切换系统的基础上提出了线性切换系统网络的概念，线性切换系统网络是由多个线性切换系统交互作用而形成的复杂网络。

In this thesis, the methods of surrounding rock masses stability classification on the basis of the geological documentation of muck and the boring parameters of TBM are approached, especially as follows:①The geological documentation of muck and the boring parameters of TBM in the Yellow River Diversion Project.of shanxi province is summarized systematically;②Based on the geological documentation of muck and the boring parameters of TBM, that whether the common methods of surrounding rock masses stability (the methods of regular factor classification) classification are feasible, is carried on the discussion;③According to the corresponding relation of muck and the boring parameters of TBM and the surrounding rock masses stability type, the extension assessment method of tunnel surrounding rock masses stability classification is set up, also the corresponding fortran calculation procedure worked out, and not only rational result in conformity with the reality can be obtained, but also the stability situation of surrounding rock masses in front of the working range can be predicted according to the change of the dependent value in the application instance of Yellow River Diversion Project;④Combining with the application instance of Yellow River Diversion Project, extension assessment method in the application of surrounding rock masses stability classification is compared and verificated in detail by applying fuzzy synthesis method by forefathers, and a certain degree discussion and summary about the application achievement of surrounding rock masses stability classification, which is assessed by extension assessment method and fuzzy synthesis method, are carried on.

本文基于渣料和TBM掘进参数的地质编录提供的地质信息进行了围岩稳定分类方法的探讨，重点进行：①对引黄工程中渣料和TBM掘进参数的地质编录的系统整理；②基于渣料和TBM掘进参数的地质编录获得的地质信息，对常用围岩稳定分类方法是否能够进行围岩稳定分类进行了探讨；③根据渣料和TBM掘进参数与围岩稳定类型的对应关系，应用可拓理论，建立了隧洞围岩稳定分类的可拓评价方法，还编制了相应的fortran计算程序，并在引黄工程的应用实例中不仅取得了与客观实际相符的合理结果，而且根据其关联度值的变化能够预测临近掌子面前方围岩的稳定情况；④结合引黄工程的应用实例运用模糊综合评判方法对可拓评判方法在围岩稳定分类中的应用进行了详细的验证、比较，并对前人在运用可拓学和模糊数学进行岩体稳定评判的应用成果方面，进行了一定的探讨、总结。

They also pointed out some asymptotic properties of the sequential estimation, such as asymptotic consistency, that is P ,and asymptotic efficiency, that is .

最近，A.Dmitrienko(2000)在构造极大似然估计的序贯置信区域时，提出了一个新的渐近性质：未知代价的有界性，即这是一个很值得考虑的渐近性质。

First, in the construction asymptotic expansions, it does not need to perturbations of the structure so special series of assumptions, or the need for a asymptotic matching, but generated its own approaches applicable to the asymptotic series.

首先，在构造渐近展式时，它不需要对摄动序列的结构做特别的假设，也不需要使用渐近匹配，而是生成自己的适用于问题的渐近序列。

In.Chapters7-8, when the conditions for the exponential estimate are not satisfied, a local asymptotic estimate and a tail asymptotic estimate for the distributions of ladder height and supremum for the random walk are derived and non-exponential asymptotic forms for solutions of defectiverenewal equations are obtained.

在第七、八章中，首先给出了随机游动阶梯高度及极大值的局部估计和尾估计以及一瑕疵更新方程解的渐近估计，然后将结果应用到风险理论中，得到了一些新结论。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下： 1）针对目前国内外对神经网络的分岔研究较少的情况，论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象，从理论上证明了Hopf分岔的存在性，并研究了分岔周期解的渐近稳定性，得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法；用平均时延作为分岔参数，发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象，当继续增加平均时延参数时，又从振荡变为稳定这一特殊的动力学现象。

Then, it studies the supply chain management system as a complex system to confirm the state existing during operating of the system. After that, it conducts a probability analysis on the state which the system located by applying supplement variable method, and establishes the model of distributed parameter system in a form of partial differential equations. Combining C0 ? semigroup theory in the functional analysis, it conducts a dynamic analysis on the established mathematical model. Using this method, it obtains the mathematical expression of the dynamic solution and the steady state solution, and proves the uniqueness, non-negativity and the asymptotic stability of the system solution. This dissertation applies the Matlab tool and uses two-step, three-step Simpson integral equation to imitate the condition of system solution. Then, it adds possible mode of failure and the optimization adjustment state to the system, based on which it has established the distributed parameter system model which is described by partial differential system of equations. Combining the functional analysis C0 ? semigroup theory, it studies the established mathematical model, and obtains the mathematical expression of the dynamic solution system and the steady state solution. It has proven the existing of uniqueness of the system solution, the asymptotic stability of system solution and the system solution. In addition, it has lying the theory rationale for further analysis and the research on the optimization of system.

本文首先简要综述了供应链理论、可靠性研究、鲁棒性研究以及供应链鲁棒性研究的现状；然后，将供应链系统作为一个复杂系统来分析，确定了系统运行过程中所经历的状态，通过引入补充变量的方法，建立了用偏微分方程组描述的分布参数系统模型，用泛函分析中的C_0 -半群理论得到了系统动态解和稳态解的数学表达式，证明了系统解存在的唯一性、非负性和指数阶渐近稳定性；并借助Matlab工具，利用二阶、三阶辛普森积分方程模拟系统解的性态，并给出系统动态解的仿真图；本文又对上述系统增加了系统可能失效状态和优化调整状态，并在此基础上建立了用偏微分方程组描述的分布参数系统模型，同样用泛函分析中的C_0 -半群理论对所建立的数学模型进行了研究，得到系统动态解和稳态解的数学表达式，证明了系统动态解存在的唯一性、非负性及渐近稳定性，为进一步分析和研究供应链优化奠定了理论基础。

Applying LMI technique, quadratic stability theory, and H〓 control theory, three methods of robust stability analysis and robust controller design for uncertain fuzzy systems are proposed respectively. Among them, LMI based technique can analyze the uncertainties raised in the premises and in the consequent of fuzzy systems. The resulting stabilizing state feedback controllers have maximum stability margins for both kinds of uncertainties. Quadratic stability theory based approach can apply LMI technique and other methods to design fuzzy controllers. H〓 control theory based design can get H〓 controller with constant disturbance attenuation for each local subsystem. Using the given stability criterion of generalized systems, the robust stability of fuzzy systems can be checked.

其中，基于LMI的方法可分析由模糊系统的前件或后件引起的不确定性，得到的稳定的状态反馈控制器对这两类不确定性具有最大的稳定裕度；基于二次稳定理论的方法可应用LMI技术和其它方法设计模糊控制器；基于H〓控制理论的方法可得到各局部子系统具一定干扰抑制性能的鲁棒H〓控制器，而全局系统的鲁棒稳定性可应用所给出的稳定条件进行检验。

The use of footscan balance test system of national high-level pistol, rifle shooters had a balance of stability tests, by analyzing the following major conclusions: First, all the athletes in men's pistol shooting athletes body posture and adjusting the balance of stability the capacity of the worst; the second, firing only state body sway eyes open area and before and after the shaking smaller decrease; and thirdly, the general balance of the stability of indicators (both before and after the body center of gravity, around shaking rate, trajectory length, shaking the area) can not accurately reflect the high level of shooting athletes balance the characteristics of stability, and derived indicators - per unit area of the track length (the total length of track and shaking the area ratio), both show the balance of stability, but also reflect the attitude adjustment ability, in the sway area certain circumstances, the greater its value, indicating that ability to regulate the more intense the frequency of shaking sooner, the better the stability of physical balance, in the actual shooting of firearms at the time of the impact of the smaller, can be used as shooting athletes evaluation and selection of indicators.

运用footscan balance测试系统对国家高水平手枪、步枪射击运动员进行了平衡稳定性的测试，通过分析得出以下主要结论：第一，所有射击运动员中男子手枪运动员身体姿态的平衡稳定性及调节能力最差；第二，射击训练只能使睁眼状态下身体晃动面积和前后晃动幅度减小；第三，一般平衡稳定性指标(身体重心前后、左右晃动幅度、轨迹长度、晃动面积)不能准确地反映高水平射击运动员平衡稳定性的特点，而派生指标——单位面积的轨迹长度(轨迹总长度与晃动面积的比值)，既显示平衡稳定性，又能体现姿态调节能力，在晃动面积一定的情况下，其值越大，表明调节能力越强，晃动的频率越快，身体平衡稳定性越好，在实射时对枪支的影响越小，可作为射击运动员的评价和选材指标。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。