全局分析

Solutions of the network are represented by the eigenvalues and eigenvectors of the symmetric matrix, and the asymptotic behavior of the solutions is analyzed.

这一表达式是由对称矩阵的特征值与特征向量表达的，因而非常清晰。利用解的解析表达式分析了网络的解的全局渐近行为。

A new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is introduced.

冯平提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法。

Based on strongly structure turbulence theory, a new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is advanced.

提出一种新的分析非线性电路平衡点全局渐近稳定的方法。

By the method in this paper, for deciding the global asymptotic stability of the equilibrium point, it is not necessary to verify whether the equilibrium point is unique and to construct Liyapunov functions.

由于非线性电路的复杂性，目前适合于该问题的方法，主要是LIYAPUNOV直接[13] 。应用LIYAPUNOV直接法分析电路的平衡点全局渐进稳定性，有两个基本的问题难以解决。

We proposed and analyzed a class of Lesli predator-prey model with mutual interference and obtain global asymptotic stability of positive equilibrium point for the model by using the theory and method of stability.

建立并分析一类具有相互干扰的Leslit捕食与被捕食模型，运用稳定性理论及方法得到了该模型正平衡点的全局渐近稳定性。

Although the generalized Brusselator system has been discussed detailedly, we further analyze it at infinity to get its global dynamics.

进一步地，为了分析Brusselator系统的全局动力学性质，我们还对该系统的无穷远奇点进行了讨论。

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。

By using bifurcation theory,the authors discussed in detail steady state solutions,stability and attractors of this system.

并使用分叉方法较深入地分析了该系统的定态平衡解与动态解的稳定性与全局吸引子。

This text utilizes the stability theory of differential equation, establishes the mathematical model of praying on the relation among the living beings, then according to the characteristic of differential equation group set up, through analyze to its equalization point,discuss the rail line distribution situation and overall stability, studies the dynamic change situation of every species during sufficient long time slot.

摘要本文利用微分方程稳定性理论，建立生物间捕食关系的数学模型，然后根据建立的微分方程组的特性，通过对其平衡点分析，轨线分布情况以及全局稳定性的讨论，研究出各物种在充分长时间段中的动态变化情况。

Second, On the basis of analysis of density distribution of sequence points on the chaotic orbit of one-dimension chaotic mapping, a mutative interval chaotic optimization algorithm is presented in search for the solution optimums of the non-linear constrained problems with multi-variables and multi-peak values. With the objective function probability measurement approaching a limit 1, the convergence of the algorithm on the global optimal solution is proofed by aid of Chebyshev inequality.

二、基于一维混沌映射混沌点集的概率测度分析，提出了一种适于解决多变量多峰值非线性约束问题的新的混沌优化算法——变区间混沌优化算法，并应用切比雪夫不等式论证了算法依概率收敛于全局最优解。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。