充分条件

Based on the new functional, delay-dependent sufficient conditions for absolute stability are derived in terms of linear matrix inequalities.

并由此基于线性矩阵不等式，得到了系统与时滞相关绝对稳定的充分条件。

The attention is focus on presenting the sufficient conditions for the existence of the memoryless state feedback guaranteed cost controller by linear matrix inequality technology, and the design of the guaranteed cost control law such that the closed-loop system is asymptotically stable and has a specified upper bound of the closed-loop cost function value for all admissible uncertainties.

利用线性矩阵不等式技术，给出了保性能控制律存在的充分条件，所设计的无记忆状态反馈保性能控制律，可以使闭环系统渐近稳定，且闭环性能指标在允许的范围内不超过某个确定的上界。

In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

With the Ben Tal generalized algebraic operation of 2 , we obtained some necessary and sufficient conditions for the class of generalized convex programming, and the results generalize the corresponding ones for the convex Programming.

利用文〔2〕中定义的Ben－Tal广义代数运算，本文得到了这类广义凸规划的Kuhn－Tucker充分条件和必要条件，所得结果推广了通常凸规划相应的结

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

The structure of analytic solution space is obtained and general form of the analytic solution is presented by means of Dirichlet Series. The convergence of Dirichlet Series solution is discussed.

根据比例延迟微分方程的性质，我们构造了Dirichlet级数形式的解析解，证明了Dirichlet级数形式解的收敛性，获得了保证方程解析解渐近稳定的充分条件。

If we hope to use a sequence of finite objects to approximate infinite objects, then we should know what kinds of infinite objects are approximable and how to approximate them effectively.

无穷形式对象可逼近的充分条件为了研究哪一类无穷对象可以逼近以及如何有效地逼近它们，我们用过程模式作为无穷对象上的计算的模型，用以刻画接受无穷输入、生成无穷输出的无穷对象上的计算。

Without presuming the activation functions to be continuous, bounded and monotone nondecreasing, by utilizing linear matrix inequality and Cellina approximate selection theory in differential inclusion, a sufficient condition is provided to ensure existence of periodic solutions for that recurrent neural networks.

在并不要求激励函数连续、有界及单调非减的情况下，通过利用线性矩阵不等式和微分包含中的Cellina近似选择定理，得到了该神经网络模型存在周期解的充分条件。

By the best approximation theory, it is first proved that the SISO (single-input single-output) linear Takagi-Sugeno fuzzy systems can approximate an arbitrary polynomial which, according to Weierstrass approximation theorem, can uniformly approximate any continuous functions on the compact domain.

借助于最优逼近理论，证明了线性SISO TS模糊系统可以逼近任意一个多项式，然后以Weierstrass逼近定理为桥梁，证明了该模糊系统可以以任意精度逼近一个任意的连续函数，从而得到了该模糊系统万能逼近性的一个新的充分条件。

We investigate the centralizer of an arbitrary element of a Lie algebra of type L and obtain a sufficient condition for a Lie algebra of type L being semisimple.

在李代数方面，我们研究了L-型李代数中任一元素的中心化子，给出了L-型代数为半单代数的充分条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。