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This limitingmodel of a singularly perturbed system is of the form of the singular systems ,while nowadays, the theory of singular systems is well developed and thus pavesthe way to develop a possible new synth.

通过对奇异摄动系统状态解极限性质的深入研究，本论文探讨了广义系统理论与方法在奇异摄动系统分析与综合中的适用性问题。

Given this assumption, even if the parameters of the system are randomly perturbed, by either genetic mutation, environmental variance or experimental manipulation during development, the system will generate a limited and discrete subset of phenotypes. Thus the realm of possible forms is a property of the internal structure of the system.

而在这种假设的前提下，即使系统各参数值受到发育过程中的随机扰动（或者是遗传突变，或者是环境变化或人工实验操纵），系统会产生出某个某个有限的、离散的表型[11]子集，因此，生物可能形态的王国，其疆域从属于生命系统的内在结构。

The exact invariants of the symmetry for the system without perturbation are given. Perturbation to weakly Noether symmetry is discussed and the adiabatic invariants of the perturbed system are obtained.

给出了未受扰动系统的弱Noether对称性导致的精确不变量，讨论了受扰动后系统弱Noether对称性的摄动，并得到受扰动后系统的绝热不变量。

Moreover, the statistical linear regression with fuzzy observation data is discussed. When the parameters of a Tagaki-Sugeno fuzzy system are perturbed with random noise, the system turns to be a stochastic T-S system.

设控制对象是用Tagaki-Sugeno模糊模型表示的非线性系统，当模型参数受到统计特征已知的随机噪声干扰时，就成为一个随机T-S模糊模型，本质上它是一个非线性随机微分系统。

In view of a class of nonlinear singular perturbed system which can be typically evolved into two time scales, a Composed control law for trajectory maneuver is researched by applying feedback linearization, in two steps, to inner loop and outer loop.

对于一类具有典型双时标特性的非线性奇异摄动系统，应用反馈线性化理论分内环控制和外环控制两步进行了轨道机动的组合控制规律设计。

In view of a class of nonlinear singular perturbed system which can be typically evolved into two time scales, a Composed control law for trajectory maneuver is researched by applying feedback linearization, in two step, to inner loop and outer loop.

对于一类具有典型双时标特性的非线性奇异摄动系统，应用反馈线性化理论分内环控制和外环控制两步进行了轨道机动的组合控制规律设计。

After the completion of DAE with removal of singular points, a DAE system may be transformed into ordinary differential equations on manifolds; it is also possible to transform DAE to a singular perturbed system as ODE.

通过将DAE完备化并去掉奇异部分，可以把DAE化为流形上的常微系统；也可以将DAE化为奇异摄动系统而得到ODE。

A self-adjusting mechanism is added to the new perturbed system such that the Newton directions of each complementary pairs can be adjusted self-adaptively according to the information of last iterates.

这样，在摄动方程本身建立了一种自调节机制，从而使牛顿方向能够根据上次迭代点的信息在各个互补对之间做出自适应的调整。

As a high-order, multivariable, nonlinear system, inverted pendulum's characteristic value distribution and the frequency range characteristic are similar to the singularly perturbed system's characteristic.

倒立摆作为一典型的高阶次、多变量、非线性系统，其特征值分布及频域特性非常类似于奇异摄动系统特点。

As a result of conservative perturbations, the first order Melnikov function for a perturbed system is identically equal to zero, so the second order Melnikov function has to be considered. The perturbation parameters which make no use in the first order Melnikov function may be important in the second order Melnikov function.

此时一阶Melnikov函数恒等于零，必须考虑二阶Melnikov函数，而在一阶Melnikov函数中不起作用的扰动参数在二阶Melnikov函数中却起着非常重要的作用，因此扰动部分极为复杂。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。