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稳定性判据

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To order to weaken the conservation of the stability conditions obtained by using vector Liapunov function, a new class of comparison systems, a generalized comparison system, is proposed.

这就使得在集结比较系统的过程中,原系统的信息损失较小,从而得到的稳定性判据具有较小的保守性。

Finally a stability criterion is introduced for linear non time-varying factional-order systems.

最后介绍了一种分数阶线性定常系统的稳定性判据

According to phase plane method and properties of pulse combustion, characteristics of trajectory diagram of stable pulse combustion are obtained, which can be used to judge operation stability.

根据相平面法的基本原理及脉冲燃烧的特点,提出了运行稳定情况下脉冲燃烧过程的相迹图所应具备的特征,即运行稳定性判据

Sufficient conditions of linear and quadratic feedback stabilizability are obtained for nonlinear systems with uncontrollable critical mode (a single zero eigenvalue, or a pair of pure imaginary eigenvalues), corresponding algorithms are given for constructing stabilizing laws.

结合中心流形方法和范式理论研究了临界情形下非线性系统的稳定性问题,针对临界模态为单零特征值、一对纯虚特征值和一对零特征值的情形,分别获得了渐近稳定或不稳定的充分条件,给出了相应稳定性判据

Finally, based on Lyapunov stability theory, the robust stability criterion of multi-multiplication interval linear systems are presented.

然后利用Lyapunov稳定性理论,给出多乘性区间线性系统的鲁棒稳定性判据

At the same time,in the MIMO case,a stability criterion is given,which doesn't need the decoupling conditions.

而在多输入多输出MIMO的情况下,也给出了一个稳定性判据,该结果不要求其非线性环节具有解藕条件。

Different from most of the existing stability conditions, our stability criterion is independent of delay and has a very simple form which is easy to verify.

与大多数现有的稳定性条件不同,我们的稳定性判据与时延无关且具有非常简单的形式,易于验证。

This paper studies the stability of the system =f, some simple criterion for stability is proved using the methods of global linearization and tensor space analysis.

本文首先将非线性系统全局线性化,然后在张量空间中分析了其稳定性态,给出了原系统简洁的稳定性判据

Firstly, the average equation under first,and second order of Van der pol-Mathieu-Duffing system are obtained through theatric methods. According to the stability criteria, the physical parameter plane is divided into different regions, associated with different types of steady state solutions, which are proved by employing numerical methods.

本文首先通过理论分析得到了Van der pol-Mathieu-Duffing方程在一、二阶近似下的定常解,分析了平均方程在不同参数平面内的幅值响应曲线,根据解的稳定性判据得到了物理参数平面上的分岔集以及定常运动在相应平面的分布情况,详细分析了该系统在各个区域内的动力学特性。

Based on the instability criterion of semi-classical Maxwell -Bloch equations of single-mode optical systems, the global distribution of instability region is depicted in A-6 parameter space (△ detuning of the atoms,θ mistuning of the cavity).

本文艰据半经典Maxwell一Bloeh方程单模光学双稳系统的稳定性判据,在△一日参数平面上描绘该系统不稳定区的整体分布(这里△和日分别正比于原子与腔相对输入场的失谐度)。

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