基于线性矩阵不等式(LMI)的方法，将故障检测问题转化为系统鲁棒稳定性的分析问题。
Based on the linear matrix inequality (LMI) approach, the system fault diagnosis problem can be solved by using the systems robust stability analysis method.
用数学分析的方法证明一类含根式的新不等式，展示了极限思想在处理一般数学问题时的深刻性。
With mathematical analyses, this paper proves one kind of new inequality including radical, which shows the profound of limit in dealing with normal mathematics problems.
在分析数学中有些不等式的证明往往比较复杂，而且具体的直观含义也比较抽象。
In analysis mathematics, some identifications of inequalities are often more complicated, and concrete ocular meaning is more abstract.
研究线性中立型系统的稳定度问题。通过不等式分析的手段，建立起线性中立型系统的稳定度的充分准则。
The stable degree of linear neutral differential systems is studied. Using the method of inequality analysis, some criteria for stable degree are obtained.
它与不动点理论，变分不等式问题，线性和非线性分析，以及其他领域的应用数学如经济，平衡问题等都有密切的联系。
It has an important relation with stationary point theories, variational inequality, linear and nonlinear analysis, and some applied mathematical problems such as economic and equilibrium problems.
本文讨论了等厚各向同性板在多种载荷作用下极限分析的上下界不等式。
This paper discusses the inequality of the upper and lower bounds of the limit analysis of an isotropic plate with equal thickness when it is subjected to the action of various loads.
使用线性矩阵不等式(LMI)方法进行了稳定性分析，保证了此控制系统的大范围稳定性。
Last the stability analysis is given by means of linear matrix inequality (LMI) approach, and the control system is guaranteed to be stable within the large range.
本文对现有的变分不等式问题的二次外梯度投影算法进行分析，并对可行域为球的二次外梯度投影算法的计算过程进行简化。
This paper makes an analysis of this quadratic outer gradient project algorithms and simplifies the process of the computation of projection needed in this method for the case of domain being a ball.
在分析无条件全局指数稳定性时，我们将时滞微分不等式引入到稳定性的研究中。
Global exponential stability theorems are given by using a method based on delay differential inequality.
文中在分析数学的几个重要不等式的证明之中引进了概率方法，取得较好的效果。
Better results are got during the course of the proofs of several inequalities in analysis mathematics by using probabilistic method.
本文从定理出发，通过对典型例题的分析，给出了导数在证明不等式中的若干应用。
Starting from the theorems, this paper presents some applications of the derivative in proving inequalities through the analyses of typical examplinary problems.
本文利用分析方法及不等式理论 ，建立了杨乐不等式及其推广与加强的探微形式 。
In this paper, we extablish subtle exploration forms of Yang Le inequality and its extension and strength, by using the method of analysis and theory of inequalities.
然后，在公差数学定义理论的基础，基于要素的自由度分析，采用不等式约束方程的形式建立各公差带的数学模型。
Then in the foundation of tolerance mathematical definition theory, each tolerance zone's mathematical model was established by inequality based on degrees of feature.
以周期非线性光学介质中隙孤子存在的条件为依据，数学计算分析得到两组参量关系不等式。
Based on the conditions of the gap soliton in periodical nonlinear optical medium, two inequalities for relation of parameters are obtained.
本文对多模式均衡配流变分不等式模型进行了灵敏度分析，并给出了数值算例。
Sensitivity analysis for multimodal equilibrium assignment variational inequality model is proposed, and a numeral example is given.
目前ANN的分析中缺乏对硬故障容错性能的分析，针对这一问题利用切比雪夫不等式给出了一种容错性分析的估算方法。
Current analyses of ANN seldom consider difficult faults. This paper presents a fault tolerance evaluation method for difficult faults based on the Chebyshev inequality.
本文研究非线性时滞大系统的稳定性问题，通过微分不等式分析，建立起一些简洁、实用的稳定性代数充分准则。
In this paper, we study the stability of nonlinear large scale systems with time lag. Some simple stability criterion are obtained.
基于线性矩阵不等式(LMI)的方法，将故障检测问题转化为系统鲁棒稳定性的分析问题。
By using Lyapunov functional method and linear matrix inequality (LMI) approach, the absolute stability of a general neutral type of Lurie indirect control systems was studied.
基于线性矩阵不等式(LMI)的方法，将故障检测问题转化为系统鲁棒稳定性的分析问题。
By using Lyapunov functional method and linear matrix inequality (LMI) approach, the absolute stability of a general neutral type of Lurie indirect control systems was studied.
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