The roots of the characteristic equation determine the stability of the system and the general nature of the transient response to any input. 特征方程的根决定了系统的稳定性以及对各种输入的响应特性。
To solve characteristic equation of microstrip antenna based on particle swarm optimization 基于粒子群算法的微带天线特征方程求解方法
As an application of the theory, the characteristic equation is derived for the conical shell with the one edge clamped and the other edge simply supported. 根据所得的解,结合工程实例,文中给出了固定边和简支边锥壳的振动特征方程和数值结果。
Based on the Hamiltonian system's theory, the relationship between closed-loop poles of system characteristic equation and weighting matrices was thoroughly investigated. 根据哈密尔顿系统理论,深入研究了系统特征方程的闭环极点和加权矩阵的关系,给出了希望加权矩阵的确定方法。
The multinomial expression of a class of symmetrical matrix characteristic equation 一类对称矩阵特征方程的多项式表示
A critical value of the delay to ensure the stability of Internet is presented by analyzing the characteristic equation of the congestion control algorithm. 通过分析拥塞控制算法的特征方程,得到了保证系统稳定的通信时延的临界值。
The new characteristic equation of circular waveguides is discussed. 提出了一个新的圆波导特征方程,并称之为普遍方程。
The algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola ( hyperbola). 这些代数条件表示为由椭圆与抛物线,椭圆与双曲线确定的广义特征多项式的根的分布。
The characteristic equation is formed by setting D ( s) equal zero. 将D(s)等于零可以得到特征方程。
A neuron equation with discrete time delay is studied. The conditions of equilibrium stability and Hopf bifurcation for this model are given by analyzing correspond transcendental characteristic equation. 作者的主要贡献和创新如下:1.研究了一个带时延的神经元方程,分析相应的线性化方程的超越特征方程,得出系统的线性稳定性和出现Hopf分岔的条件。
The characteristic equation for the vibration frequencies of the cracked cantilever beam is obtained. 由此特征方程计算得到裂纹深度参数和位置参数变化时悬臂梁振动固有频率的变化规律。
The characteristic equation of Rayleigh wave in a layered soil is formulated. 本文推导了成层地基的Rayleigh波特征方程及相应的位移和应力分布计算公式。
Characteristic Equation and Characteristic Surface of the Fundamental Equations in Fluid Mechanics 流体力学中基本方程的特征方程及特征曲面
Based on the basic characteristic equation, two uncoupled equations for cutoff frequencies were obtained theoretically. 从基本特征方程式出发,理论上导出了两组非耦合的求解截止频率的方程式;
In this paper, the basic principle of the method of lines is extended to the research of dispersion characteristic of elliptical microstrip lines using modified boundary conditions. A dispersion characteristic equation is derived. 本文用直线法对椭圆微带线的色散特性进行了研究,导出了色散特性方程。
Finally, buckling load and mode can be calculated from the characteristic equation. 最后由屈曲方程计算含内埋矩形脱层壳的屈曲载荷和屈曲模态。
Starting from the integral equation of thermal kinetics, a new characteristic equation of combustion is derived. 从热动力学积分方程出发建立了新型燃烧特征方程。
Using the methods, the sensor's straight linear characteristic equation is generated with straight linear regression. 该方法将传感器线性段特性用回归方法进行拟合,得到直线校正方程;
Static characteristic equation is established on the basis of one-dimensional flow theory with fundamental mode been told. 本文基于一元束流理论,在已知基本参数的情况下,直接利用能量平衡方程进行计算,完成了液力变矩减速制动器静态数学模型的建立。
Characteristic equation of a rectangular plate is derived based on its potential energy functional. 基于矩形板的势能泛函导出其特征方程。
By using the constitutive relations of electromagnetic fields for chiral media and Maxwell's equations, analytical solutions of electromagnetic fields in the step-index Chiral optical fiber which both the core and the cladding are chiral media have been presented. The modal characteristic equation is derived. 从手征介质中的电磁场本构关系出发,利用麦克斯韦方程组,对纤芯和包层都是手征介质构成的阶跃型手征光纤进行了解析求解,导出了模式场解和特征方程。
In this paper, a successive approximation procedure for calculating eigenvalues of the complex characteristic equation is proposed. 本文提出了对复变特征方程求根的一种系统逼近程序。
A system characteristic equation is deduced and a system natural vibration characteristic is calculated. 推导了该武器系统特征方程,计算了系统固有振动特性;
In this paper, the field distribution in this structure has been analyzed and the characteristic equation has been derived. The results have been compared with what we have obtained in the analyses of symmetric double circular groove guide. 通过对该结构中场分布的分析,导出了特征方程,并与对称圆形双槽波导所得的结果进行了比较。
Thirdly, we find local stability is changed through a Hopf bifurcation by analyzing the characteristic equation. 再次,通过分析特征方程,发现一般情况下,系统的局部稳定性由于经历Hopf分支而发生变化。
If all the roots of the characteristic equation have negative real parts, then the system is asymptotically stable. 如果所有的根都有负实部,那么系统就渐近稳定。
The distribution of the roots of the characteristic equation associated with the model is analyzed using different parameters, the stability of the equilibrium points and the dynamics properties of the model are discussed in detail, which proves that the single-gene expression model is stable all the time. 然后取不同的参数,通过对模型的线性部分特征方程根的分布分析,讨论了平衡点的稳定性,详细地研究了该基因表达模型的动力学性质,从而说明了该模型始终处于稳定的状态。
By obtaining the characteristic equation associated with the linearized equations, analysis of the real parts of the eigenvalues is carried out. 通过得到线性化后的方程组的特征方程,可以对特征根的实部进行分析。
By the analysis the distribution of roots of the characteristic equation to the linearized system, some sufficient conditions to ensure that the asymptotically stability and the existence of Hopf bifurcation near the equilibrium are derived. 然后通过分析其线性系统所对应的特征方程根的分布情况,得到了该系统平衡点渐近稳定和Hopf分支产生的的充分条件。
The characteristic equation for free vibration of a modified shear beam is obtained. 取得了修正剪切梁自然频率的特征方程。