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A set of suf?cient conditions for existing a uniform canonical form is given to the linear system.

首先, 给出保证线性部分有一致规范型的充分条件。

According to normalforms that we obtained,we study universal unfolding for some degenerate bifurcationcases of codimension three and some simple global characterizations.

利用共轭算子法研究了具有幂零线性部分和不具有Z2—对称性的非线性动力系统的2阶规范形、3阶规范和4阶规范形,讨论了几种余维3退化分岔情况下的普适开折问题及其一些全局特性。

This method overcomes the existence of inverse function of the non-linear part and question of the uniqueness in Hammerstein model.

克服了Hammerstein模型中非线性部分的反函数存在性和惟一性的问题。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant α, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的,并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的,并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

When parameters satisfy some assumptions, Rossler system is a chaotic dynamical system. In order to discuss the dynamical character of Rossler system and use delayed feedback control chaos, in the first, we discuss the stability of the steady states of Rossler system with delayed feedback. When the engenvalues of the linear part are pure imaginary numbers, we obtain the corresponding delay value. The stability of the steady state is lost when the delay passes through the critical value, and simultaneity chaos may vanish, as well as there will be a family periodic solutions bifurcate from the steady states.

在几个参数满足一定的假设条件下,Rossler系统是一个具有混沌特性的动力系统,为了研究该系统的动力学性质并利用时滞实现混沌控制,本文首先对具有时滞的Rossler系统的平衡点进行稳定性分析,当系统的线性部分对应的特征值为纯虚根时,算出相应的时滞τ,得到了平衡点的稳定性会在时滞τ取某些值时发生翻转,同时系统的混沌特性也会出现变化,并且在平衡点处系统经历Hopf分支。

Find the slope of the line of "best fit" in the plot of velocity versus time.

找出速度——时间曲线中"最符合线性"部分的斜率。

An improved method for adaptive decoupling controller was p roposed. A rectified RLS method was used for iˉ dentifying the linear model and a neural network was used for app roaching the coupling, nonlinear and unmodeled dyˉ namics. So the control precision and robustness of the system can b e improved, and it can solve the nonlinear uncertain multiˉvariable coupled problem.

设计了一种改进的自适应解耦控制方法,即采用修正的RLS算法辨识系统线性部分的模型,用神经网络来逼近通道间的耦合、非线性及未建模动态项,进而增强了自适应控制的精度和鲁棒性。

When the perturbations in the linear parts occur only on the numerators or denominators of the transfer function, it is enough to use 4 specific transfer functions.

这个数目不随系统的线性部分的阶次增高而加大,在某些特别情况下却可能更小。

Find the slope of the line of "best fit" in the plot of velocity versus time.

找出速度——时间曲线中&最符合线性&部分的斜率。

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