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特征线性系统 的英文翻译、例句

特征线性系统

词组短语
characteristic linear system
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Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数,通过分析对应线性系统特征方程的根的分布,讨论了平凡解的稳定性,得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

This paper studys the stability of nonlinear systems in two particular critical cases. In a case, the linear systems at the equilibrium point of interest is assumed to possess a simple zero eigenvalue. In the other case, it is assumed to possess a complex conjugate pair of simple pure imaginary eigenvalue.

本文基于中心流形定理研究了非线性系统在两种特殊临界情形下的稳定性问题,一种是与它相应的线性系统在平衡点仅有零特征根,另一种是与它相应的线性系统在平衡点仅有一对共轭的纯虚数特征根。

This paper reviews the development of control theory and the characteristics of linear systems and systems with unique equilibrium.

摘要回顾了控制理论的发展,并讨论了线性系统、单平衡位置系统的本质特征。

A parametric approach is proposed for the optimal trajectory tracking control problem of space rendezvous by using the eigenstructure assignment and the model reference method of linear systems.

基于线性系统的特征结构配置和模型参考方法,提出了一种空间最优交会轨迹跟踪控制的参数化方法。

The course will introduce the basic theory of Linear Algebra including linear equations, Matrix theory and vector space concept. Eigenvalues and eigenvectors are used for describing the characteristics of the system. A set of orthogonal basis vectors represent the vector components and transformation characteristics.

线性代数是利用向量与矩阵特性,解决任何以线性方程式描述之系统,譬如电路系统、通讯系统、控制系统;藉由线性代数之特征值与特征向量,更能深入了解系统之内涵;藉由线性代数正交基底,则能深入了解向量讯号之组成与其转换特性。

Based on the proposed analytical general solution of the second-order Sylvester matrix equation,a parametric method of the state feedback eigenstructure assignment in a class of vibration second-order linear systems is presented.

基于二阶Sylvester矩阵方程的解析通解,给出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。

Based on the proposed ana- lytical general solution of the second-order Sylvester matrix equation, a parametric method of the state feedback eigenstructure assignment in a class of vibration second-order linear systems is presented.

基于二阶Sylvester矩阵方程的解析通解,给出了振动二阶线性系统的状态反馈特征结构配置设计参数化方法。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果,得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式,并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

Based on the decomposition theorem for vector space with module structure and rational canonical form of matrix, a kind of new block diagonal controllably canonical forms are inferred when the time invariant linear multivariable system is completely controllable, which the system matrix is similar to a block diagonal and has an analogy with its rational canonical form. Compare with current controllability canonical forms, this kind is easier to analyse the system constructional characteristic. The process of proof gives an effective solution method.

基于向量空间的模结构分解和矩阵的有理标准形给出了定常多输入线性系统一类新的块对角可控规范型,其中的系统矩阵相似与一个块对角矩阵,该块对角矩阵类似于矩阵的有理标准形,与现在有的可控规范型比较,更容易反映系统的结构特征,证明步骤给出了求解方法。

Resultantly, the individual warm/cold events in ENSO cycle appear to be partially locked to the annual cycle, and also exhibit obvious irregularity both in amplitude and in lasting time.

本文第四章研制设计了一包含海洋表面边界层和大气辐合反馈过程的热带太平洋海气耦合异常模式,进而利用该模式对ENSO循环进行了较为真实的模拟,通过对模式ENSO循环的演变特征及其形成机制的细致分析,建立了-ENSO循环的非线性分析模式,并提出了ENSO循环形成的一种更为客观的理论,指出:1)和观测事实类似,模式ENSO循环确实涉及了三种主要时间尺度过程即LF、QB和AC,其中LF为3-4年主周期振荡,QB占总方差10~20%;2)ENSO循环的正反馈机制是不稳定海气相互作用过程,且这一不稳定过程的发展在暖态中明显强于冷态;3)ENSO循环的负反馈机制在冷暖态中表现不同,在冷态消亡过程中,这种负反馈过程主要表现为西边界反射产生的时滞效应,但在暖态消亡过程中不存在类似的时滞效应,其负反馈过程主要表现为在海气耦合不稳定充分发展时伴随的赤道两侧冷水上翻过程的加强以及非线性过程的衰减作用抑制了不稳定的发展并最终使得系统回复至冷态;4)ENSO循环的3-4年主周期振荡是一非线性系统的自激振荡现象,其形成是线性系统的本征模即准两年振荡通过非线性机制产生的周期加倍所致,其中&单向性&大气辐合反馈加热过程对其形成至关重要;5)虽然年循环过程对ENSO循环形成没有本质影响,但它可明显影响ENSO循环的具体振幅和位相,使得ENSO对季节循环有明显的&锁相&特征,并且也使得ENSO循环在振幅大小和时间长短方面呈现出明显的不规则性。