查询词典 invariance theorem

The stability of the system is proven by Lyapunov techniques and Lasalle's invariance theorem. Simulation results show that the designed adaptive controller achieves a superior performance for the overhead crane system.

对系统稳定性，文中通过李雅普诺夫理论及拉塞尔不变性原理进行了证明，仿真结果也证实了这种自适应控制器能够对吊车系统进行良好的控制。

The stability of the closed-loop system is proven by Lyapunov techniques and LaSalle's Invariance Theorem. Simulation results demonstrate that the designed adaptive controller achieves a superior performance for the overhead crane system.

对于闭环系统的稳定性，文中通过李雅普诺夫理论及拉塞尔不变性原理进行了证明，仿真结果也证实了这种自适应控制器能够对吊车系统进行良好的控制。

Starting from the concept of Measured Equation of Invariance and the local equivalent theorem, it regarded the determination of the truncation boundary condition as a question of field simulation in a small area near the grid boundary. The practical disposal in the 2D and 3D cases was discussed.

基于测度不变方程的概念和局部等效原理，将截断边界条件的确定归结为网格边界上一小区域的电位场模拟问题，并讨论了在二维、三维情况下的具体处理。

In this method, an interim variable is defined by combining one variable of each subsystem. The interim variable is used to construct the sliding-mode function and the total control law can be derived to guarantee the equilibrium point is reachable in finite time. Using LaSalle invariance theorem, it can be proved further that the equilibrium field only includes one equilibrium point and the equilibrium point is asymptotically stable.

该方法将各个子系统的一个变量进行组合定义成一个中间变量，然后从这个中间变量出发构造滑模函数，通过求取总的控制量保证中间变量在有限时间内收敛到平衡点；进一步利用LaSalle不变性原理证明该收敛域内只有一个平衡点且是渐近稳定的。

Secondly, by introducing the generators of the infinitesimal transformations of Jourdain, the Noether′s theorem for the above nonholonomic systems of variable mass in event space has been obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group.

这一成果揭示了力学系统的守恒量和其内在的对称性的关系，极大地推动了力学、物理学的发展。在近20年来，国内外的许多学者相继对Noether定理做了多方面的推广，不但用Hamilton作用量而且用微分变分原理研究完整和非完整系统的守恒律。

For diffusive Predator-Prey model with Holling-Ⅲ functional response without time delay, shooting argument together with LaSalle's Invariance Principle and the Hopf bifurcation theorem are applied to prove the existence of traveling wave solutions and small amplitude traveling wave train solutions.

在数学理论的研究中，行波解可以揭示方程本身的许多重要性质；在实际应用中，行波解可以很好的表现自然世界中的振荡现象。因此，对反应扩散方程行波解的研究具有非常重要的意义。

Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

In addition also introduced the differential theorem of mean in the proof equality and the inequality, the certificate equation root existence, asks the limit, to ask the approximate value, as well as aspect and so on research function condition should thus deepen to the differential theorem of mean understanding.

此外还介绍了微分中值定理在证明等式和不等式、证明方程根的存在性、求极限、求近似值，以及研究函数性态等方面的应用，从而加深对微分中值定理的理解。

We prove the existence theorem of rationed with Borel points for meromorphic functions in the unit circle, discuss the operations of algebroid functions and the existence theorem of Nevanlinna direction of algebroid function dealing with mutiple values, and obtain some uniqueness theorems dealing with mutiple values of algebroid functions.

证明了单位圆内限定Borel点的亚纯函数的存在性定理，讨论了代数体函数的运算性质以及涉及重值的Nevanlinna方向的存在性定理，得到了一些涉及重值的代数体函数的唯一性定理； 2。

The content of this course is: analytic function (the definition of analytic function, elementary functions, etc.), conformal mapping (the definition if conformal mapping, fractional linear functions, elementary mappings, etc.), complex integration (Cauchy's integral formula, Cauchy's theorem, etc.), Series (Laurent Series, singularities, local property, etc.), residues and its applications (the Residues Theorem, integration by residues, the Argument Principle, the Maximum Principle, Schwarz's Lemma, etc.), analytic continuation and harmonic functions, etc.

本课程内容主要包括：解析函数(解析函数的定义、初等函数等)、共形映射(共形映射的定义、分式线性变换及初等映射等)、复积分(Cauchy 积分公式、 Cauchy 定理等)、级数(Laurent 级数、孤立奇点、局部映射等)、留数及其应用(留数定理、利用留数计算积分、幅角原理、最大模原理、 Schwarz 引理等)、解析开拓和调和函数等内容。

Metrorrhagia is also gynaecological problems of common diseases.

崩漏是妇科常见病也是疑难症。

WordFTP gives you the convenience and timesaving you need.

wordftp让您的方便和省时您所需要的。