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并讨论了闭环系统的增益裕度、相位裕度和时滞容限等性质。An asymptotical formula for the eigenvalues of the closed-loop system is obtained.

并发现对所提出的EB检验，在某些条件下，具有渐近最优性的收敛速率，能够任意接近于1。It is discovered that convergence rate with asymptotical optimality for the proposed EB test can arbitrarily approach to 1 under certain conditions.

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考察了亚谐响应幅值系数对阻尼的敏感性及亚谐振动谐波成分的渐近稳态性。The asymptotical stability of the subharmonic resonances and the sensitivity of the amplitude responses to the variation of damping coefficient were examined.

最后指出，当原点全局渐近稳定时，其余非零稳定平衡点均为伪平衡点的必要性。By the above facts, it is necessary in analyzing globally asymptotical stability of the origin that the other asymptotical stability equilibrium points are false ones.

此外，对于慢子系统的控制，选择以投影算法作为参数估计规律的自适应控制器，并证明了它的渐近稳定性。Besides, an adaptive controller with projection algorithm as parameter estimation law is designed for the slow subsystem control and its asymptotical stability is proved.

研究表明，可以选择与时滞无关的状态反馈控制器，使系统是鲁棒全局一致渐近稳定的。This research indicates that state feedback controller without delay can be chosen to guarantee the robust global uniformly asymptotical stability of integro-differential systems.

在不要求最优逼近误差平方可积和上界已知的条件下，证明闭环系统全局渐近稳定，所有信号有界且跟踪误差收敛到零。We proved the closed systems global asymptotical stable, not needing the error upper bound and the error square integral, all the signals are bounded and the tracing error convergence.

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在误差相关的情况下，使用局部线性方法给出变系数模型的估计，并讨论估计的渐近正态性。In this paper, estimations of varying-coefficient models with the correlated random errors are given by the local linear method. Furthermore, its asymptotical normalities are discussed.

并介绍了确定系统决定性子动态和基于其上的多变量模糊系统渐近分析方法。And then a α-cut filtering technique based approach to the recognization of the dominant subdynamics and that to the asymptotical analysis of multivariable fuzzy dynamical systems are given.

为了更好地应用于时滞过程，利用无时滞PSD系统渐近稳定的特点，提出了无预估模型的PSD自适应预估控制算法。In order to apply well to the process with time delay, a model-free predictive control law for the PSD is proposed which scheme is based on the asymptotical stability in delay-free PSD system.

然后利用积分反推方法，构造性地设计出了输出反馈稳定控制器、自适应镇定控制器和渐近跟踪控制器。Then, the output-feedback stable controller, the adaptive output-feedback stable controller and asymptotical tracking controller are constructively designed using integral backstepping approach.

基于范围分割提出了一个有效的、渐近的负载平衡算法，可确保在任意时间的存储平衡，理论分析证明了该方法的有效性。Based on range-partition, this paper proposes an efficient asymptotical algorithm of load balance to insure the storage balance in any time, and demonstrates its validity through theory analysis.

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换句话说，在另一较高的串联补偿度上，轨道不稳定的极限环将从原来渐近稳定平衡点上分岔出来，系统的稳定性态将被改变。In other words, the unstable limit cycle will be bifurcated from the original asymptotical stable equilibrium point at another higher series compensation level, and the system dynamics will change.