查询词典 perturbation function

In the perturbation approach the ro-vibrational Hamiltonian is expanded in terms of the normal coordinates, their conjugate momenta, and the rotational momenta. The harmonic oscillator and rigid rotor wavefunctions are then used as the basis functions.

根据光谱理论，在谐振子和刚性转子的表象中，通过切变换导出一个等效的哈密顿量，考虑各种共振相互作用后，对角化哈密顿矩阵得到本征能量。

The problem of PI controller design for the multi-input and multi-output system is transformed to that of static output feedback controller design via the new state variable. As to the problem of the static output feedback, a new LMI-based sufficient condition of the controller is presented in this thesis. We can gain the multivariable PI controllers just solving one LMI inequality. The numerical example is provided to illustrate the proposed design approach. 3.The H_∞ robust control is able to solve the multivariable problem, also the control problem characteristic of the modeling error, parameters uncertainties and unknown perturbation, Its application research in the power electronics is beginning now. Considering the characteristics of the PWM DC-DC converters, a multivariable PI controllers which is based on H_∞ Performance Index is designed.

通过构造新的状态变量，可以将多输入多输出系统的PI控制器设计问题转化为静态输出反馈控制问题，利用后者的成熟理论来设计控制器；本文在问题转化后采用更为简便的算法，只需通过求解一个LMI不等式，就能求取基于H_∞性能指标的多变量PI控制器参数，实例验证了算法的有效性。3.H_∞鲁棒控制具有处理多变量问题的能力，可解决具有建模误差、参数不确定和干扰未知系统的控制问题；它在电力电子学中的应用研究刚刚开始。

A series of numerical examples show that the approximation results by these perturbation methods can reach well precision.

通过数值算例表明了通过这些摄动法求得的近似解都可以达到很好的精度。

Taking fclio earth rotation and oblateness into consideration, the orbit perturbation, attitude errors and its stability effects on SAR Doppler parameters are analyzed.

在考虑地球自转和扁率的情况下，分析了轨道摄动、卫星姿态指向误差和稳定度对SAR多普勒参数的影响，并进行了数字仿真。

Formation flying ; Earth oblateness ; Perturbation ; Formation keeping

在理想情况下，编队中各卫星沿开普勒轨道绕地球运行，可以靠自然力长期保持编队飞行。

Simulation results show that the performance of the open-loop control system is poor when the model parameters change. The second system is designed via feedback linearization method. Since the path signal is introduced as feedback signal, the designed closed-loop control system improves the system robustness to the parameter perturbation. Simulation results verify that the closed-loop control system shows better performance than the time optimal control system.

前者侧重于时间最短的控制性能，但由于是开环控制，当出现参数摄动时，系统的性能会受到较大影响；后者由于引入了飞艇轨迹的反馈信号，因而相对提高了系统对参数摄动的鲁棒性，计算量较小，并且仿真结果证实了这种闭环系统设计方案可以抑制参数摄动带来的影响，与时间最优开环控制系统相比，显著提高了控制精度、改善了控制效果。

Keywords: Banach space;operator;equation;boundary condition;perturbation.

中文关键词：巴拿赫空间；算子；方程；边界条件；扰动

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支，诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

The methods most in use to the solution of the problem with unacceptable frequency bands: one is a mathematical programming or optimum criterion method; the other is structure matrix perturbation.

前者的局限性是结构重分析次数多，计算时间长；后者虽可在一定程度上避免重分析，但其迭代步长难以确定。

Therefore, the influence of tide perturbation must be considered in the high-precise and long-time autonomous orbit determination.

因此，在高精度、长时间的导航卫星自主定轨中必须要考虑潮汐摄动的影响。

We have something to do in the new stage.

在这段崭新的时期中，我们有一些要做的。

The difference between tourism decision-making under uncertainty and risky tourism decision-making is indistinctive.

其中不确定性旅游决策和风险旅游决策的界线比较模糊，两者的区分是相对的。