查询词典 asymptotically stable solution

The invention relates to a way to prepare nickel, manganum and cobalt hydroxide. The method includes making the mixed solution a coprecipitate with mixed solution B in base solution C. The mixed solution A contains nickel salt, manganese salt and cobalt salt, the mixed solution B is a strong base solution, the base solution C is aqueous ammonia solution. The solution A also contains ammonium salt while solution B also contains aqueous ammonia; besides, after being mixed, the molarity of ammonia in solution A and solution B is the same with that in solution C.

一种镍锰钴氢氧化物沉淀的制备方法，该方法包括将混合液A和混合液B在底液C中进行共沉淀反应，所述混合液A中含有镍盐、锰盐、钴盐，所述混合液B为强碱溶液，所述底液C为氨水溶液，其中，所述混合液A中还含有铵盐，混合液B中还含有氨水，并且参于等当量反应的混合液A中的铵盐与混合液B中的氨水在混合液A和混合液B混合后氨的摩尔浓度与底液C中氨的摩尔浓度相等。

The design of output feedback H(subscript ∞) controllers is discussed for nonlinear discrete singular systems. First of all, by means of generalized Lyapunov function and linear matrix inequalities, zero solution E-asymptotically stable is studied for the system, a sufficient condition is given such that the system is zero solution E-asymptotically stable and a H(subscript ∞) norm constraint. And the output feedback H(subscript ∞) controller is designed to guarantee the performance of the resulting closed-loop system.

主要对非线性离散广义系统的输出反馈H控制器的设计问题进行讨论，首先利用广义Lyapunov函数和线性矩阵不等式，对系统的零解E-渐近稳定性问题进行分析，在此条件基础上给出系统零解E-渐近稳定且具有H范数约束的充分条件，然后设计系统的输出反馈H控制器，使得闭环系统具有同样的性能。

The intermediates of manufacturing process include the hydrolyzed solution, the aqueous solution of Radix Isatidis extraction, the aqueous solution of Fructus Gardeniae extraction, the aqueous solution of Flos Lonicerae Japonicae extraction, the aqueous solution of baicalin, the alcohol solution of mixteure composed by cholic acid and hyodeoxycholic acid, 4-blended solution, 6-blended solution, the blended solution of baicalin and ASFLJE and 8-blended solution.

清开灵注射剂处方由胆酸、猪去氧胆酸、水牛角、黄芩苷、板蓝根、栀子、金银花和珍珠母组成，其生产过程中间体包括水解液、板蓝根液、栀子液、金银花液、黄芩液、四混液、胆酸混合液、六混液、银黄液和八混液。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

By using theories of almost type functions,the theorem about relation of asymptotically periodic functions and asymptotically periodic sequences ,as well as the equipollence of vector-valued asymptotically periodic functions and almost periodic functions on R+ are obtained.

利用概周期型函数的理论，得出了渐近周期函数和渐近周期序列二者的关系定理，以及R+上的向量值渐近周期函数与概周期函数的等价关系。研究了渐近强周期函数空间、渐近周期序列空间的可分性质

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

In this paper, we discuss asymptotically stable sets of graph maps and give a necessary and sufficient condition for a fixed point of f to be asymptotically stable.

在本文中，我们讨论了图映射的渐近稳定集，并给出了f的不动点为渐近稳定的一个充分必要条件。

When the value of critical threshold larger than 1, the disease and insect pests equilibrium point is locally asymptotically stable An appropriate Dulac function should be choosed and Bendixson-Dulac creterion is used to prove that the limit cycle in this model does not exist. It explains that the disease and insect pests equilibrium point is globally asymptotically stable.

选取适当的Dulac函数，利用Bendixson-Dulac判别法证明了极限环的不存在性，说明局部渐近稳定的病虫害平衡点也全局渐近稳定。

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。

Multiple trials is the basic concept of many parallel simulated annealing. It is to perform multiple trials at the same time to search acceptable solutions. The division simulated annealing with no communication and The clustering simulated annealing are two common types of parallel simulated annealing methods. The division simulated annealing with no communication makes each processor generate its own adjacent solution from its own current solution and compute the acceptance probability for a adjacent solution. Each of the processors searches solutions without communicating each other. Clustering simulated annealing makes each processor generate its own adjacent solution from a common current solution and compute the acceptance probability for each adjacent solution. Then, it decides which adjacent solution should be used to replace current solution according to a pre-specified rule.

许多平行模拟退火法之理论依据为多向试验，利用同一时间探索更多方向的试验来拓展搜寻的广度或深度，不进行沟通的分工模拟退火法(the division simulated annealing with no communication)以及丛集模拟退火法(the clustering simulated annealing)皆为平行化的模拟退火法，前者定义为各个处理器针对各自的起始解进行搜寻，产生各自的搜寻序列，在搜寻过程中处理器不进行任何沟通，各处理器仅针对自身之目前解进行搜寻；而后者定义为让所有处理器针对同一目前解进行运算搜寻各自的可能解，并各自决定其产出解之接受机率，最后根据事先决定之规则进行沟通比较，挑选其中一个可接受解取代目前解。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。