本文给出了关于离散定常线性系统的稳定性的一个定理。
In this paper, a theorem on stability of discrete linear time-invariable systems is presented.
阐述了具有饱和控制器及状态时滞的连续线性系统的稳定性。
The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed.
临界非线性系统的稳定性判别是稳定性研究的一个基本课题。
Judging stability of critical nonlinear systems is a basic problem of systems stability.
基于分数阶线性系统的稳定性理论，分析了该方法的稳定性。
Based on the stability theory of fractional-order linear system, stability of the proposed method is analysed.
研究了时变广义线性系统和时变广义非线性系统的稳定性问题。
In this paper, the problems of stability for linear singular systems and nonlinear singular systems with time-varying are studied.
基于广义频率响应函数矩阵，讨论了多变量非线性系统的稳定性问题。
The stability of multivariable nonlinear control system is discussed in connection with the generalized frequency response function matrix.
对非线性确定性系统，利用稳定性的线性等价原理，提出了这一类非线性系统的稳定性判据；
As to nonlinear determined system, a criterion was presented in light of the linear equivalent stability principle;
示例计算结果表明，确定系统的增量增益不但可以方便地判断饱和非线性系统的稳定性，而且在一定程度上也反映了系统的鲁棒性。
And the results show that the nonlinear system incremental-gain can be, in some degree, used not only to judge system stability but also to reflect system's robust.
本文对强聚焦加速器中带电粒子运动的稳定性乃至一般的N维周期性线性系统的稳定性给出用转移矩阵的特征值表示的稳定性充分必要条件。
Sufficient and necessary conditions of stability in terms of eigenvalues of the transfer matrix are given for the motion of a charged particle in a strong-focusing accelerator.
针对多指手机器人抓取系统，引入了密度函数用于研究其线性及非线性系统的稳定性，得到了使抓取系统的平衡解几乎处处渐近稳定的不等式条件。
In order to study the stability of robotic multi-fingered grasping, density function is constructed, and the inequality condition of everywhere stability of grasping system is obtained.
针对基于状态观测和信号量化的线性系统，进行了稳定性分析与研究。
This paper is concerned with the asymptotic stability analysis of linear systems with signal quantization and state observation.
另外，本文还讨论了第二个问题，就是无限维线性系统在生成的紧扰动下的非指数稳定性。
Besides, our paper has discussed another problem, which is the non - exponential stability of infinite - dimensional linear systems under generating compact perturbation.
本文用微分学方法给出了关于定常离散线性系统稳定性判据的一种初等证明。
In this paper, a primary proof about a stability criterion of a constant discrete linear system is given by means of differential calculus.
结果表明：该分析定理与线性系统的李雅普诺夫稳定性定理是一致的。
The results show that the stability analysis theorem is consistent with the Liapunov stability theorem for linear systems.
对于分段线性系统稳定性分析以及控制器的优化设计问题，本文给出了一种基于分段二次李雅普·诺夫函数的求解方法。
Based on a piecewise quadratic Lyapunov function, this paper presented a stability analysis and optimal controller design method for piecewise linear systems.
最简规范形在分析高余维非线性系统分岔及稳定性等动力学特性方面具有重要的研究价值。
The simplest normal form (SNF) plays an important role in researching into the dynamical characteristic of high co-dimensional system, such as the bifurcation and stability.
电力系统是一个多时间尺度的大规模非线性系统，其稳定性分析非常复杂。
Power system stability analysis is extremely complex due to its multi time scale nature, high dimensionality and non linearity.
本文旨在对非线性系统解的稳定性态进行分析和研究。
This thesis aims to analyze the stability properties of solutions of nonlinear systems.
针对基于仿射非线性系统的一般模型控制(GMC)方法进行了鲁棒稳定性分析。
The robust stability of a generic model control (GMC) for nonlinear affine systems is analyzed in this paper.
首先根据特征值判据，给出单乘性区间线性系统鲁棒稳定性的充分必要条件。
Firstly, according to eigenvalue criterion, the robust stability necessary and sufficient conditions of single-multiplication interval linear systems are given.
本文研究了饱和状态反馈离散时滞线性系统的渐近稳定性问题。
This paper investigates the problem of asymptotic stability for discrete-time delay linear systems with saturated state feedback.
研究的目的是要找到非线性系统在临界情形下的稳定性控制算法。
Purpose of this paper is to obtain control algorithms for stability of nonlinear systems in critical cases.
另外，基于所提出的估计器，本文设计了不依赖非线性系统模型的高阶微分反馈控制器。该控制器稳定性好，鲁棒性强。
Further more, based on the estimator a high order differential feedback controller is designed, which does not rely on the model of the nonlinear system, and has well stability and robustness.
针对一类由非线性增益函数与典型PID控制器级联组成的非线性系统，采用波波夫判据对此类闭环控制系统进行稳定性分析。
The stability of a nonlinear control system which consists of a sector bounded nonlinear gain in cascade with a fixed linear PID controller is analyzed using Popov stability criterion.
本文初步解决了非线性系统的分区域线性化控制律的连续性和系统的稳定性问题，简要介绍了一个应用例子。
Some preliminary results of continuity and stability of nonlinear system with piecewise linearized control are given. An application of the results is discussed briefly.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
运用多项式稳定性充分判据，将线性系统的同时镇定问题转化成非线性不等式组的求解。
In this paper, the simultaneous stabilization problem of linear systems is transformed into solving problems of a set of nonlinear inequalities by using a sufficient criterion of polynomial stability.
利用V函数方法研究非线性系统的实用不稳定性。
The problem of practical instability of nonlinear systems is considered by means of the V-function method.
研究了二阶线性系统在谐和与随机噪声联合作用下的主共振响应和稳定性问题。
The principal resonance of a second-order stochastic oscillator under combined harmonic and random parametric excitations is investigated.
研究了二阶线性系统在谐和与随机噪声联合作用下的主共振响应和稳定性问题。
The principal resonance of a second-order stochastic oscillator under combined harmonic and random parametric excitations is investigated.
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