查询词典 sufficient condition

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

By means of generalized Lyapunov function and linear matrix inequality,the asymptotical stability with zero solution is studied for the system,and a sufficient condition is given such that the system is asymptotically stable with zero solution and also a H∞ norm constraint .

针对非线性离散广义系统研究了状态反馈H∞控制器的设计问题，利用广义Lyapunov函数和线性矩阵不等式，首先对系统的零解渐近稳定问题进行了研究，并在此基础上给出了系统的零解渐近稳定且具有H∞范数约束的充分条件，之后设计了状态反馈H∞控制器，使闭环系统具有同样的性能，最后给出了数值算例说明本文结论的有效性和可行性

A sufficient condition of the analytical solution of the system which is asymptotically stable is derived.

其中 ，中立型方程为电网的能量耗损等问题提供了有效的数学模型。

A sufficient condition for the systems to be asymptotically stable, which is dependent on whether LMI is feasible, is presented.

给出了以线性矩阵不等式组的形式表示的该控制器存在的充分条件。

In this paper, we discuss asymptotically stable sets of graph maps and give a necessary and sufficient condition for a fixed point of f to be asymptotically stable.

在本文中，我们讨论了图映射的渐近稳定集，并给出了f的不动点为渐近稳定的一个充分必要条件。

Then the eigenvalues of the closed loop system is studied and the necessary and sufficient condition for the closed loop system to be asymptotically stable is derived.

其次，对相应的闭环系统特征方程进行详尽的讨论计算，得到了系统本征值的分布特性，从而利用Lassel 不变原理得到了闭环系统渐近稳定的充分必要条件。

Thispaper proposed a necessary and sufficient condition for the well-posedness and attainability ofthe modified regulator problem. Furthermore, the state corresponding the optimal control has amean-square convergence rate faster than the given rate.

本文研究了一类带稳定度约束的无限时域不定随机LQ问题，给出了问题适定和可达的充要条件，且保证最优控制作用下的闭环系统具有不低于给定的均方收敛速度。

By means of augmented Lyapunov functional and free-weighting matrix approach,a delay-dependent sufficient condition is presented,which can make the resulting closed-loop systems asymptotically stable and satisfy a prescribed H∞ norm-bounded constraint.

利用增广Lyapunov泛函并结合自由权矩阵方法，得到使得闭环系统鲁棒渐近稳定且具有给定的H∞性能的时滞相关充分条件。

Moreover, by augmenting state vectors, the sufficient and necessary condition of mean square stability is obtained.

此外，通过增广状态向量利用系统的Markov切换特性得到了系统均方稳定的充分必要条件。

Global asymptotic stability of a class of nonlinear rational difference equation s was studied by means of setting up an auxiliary equation,so that a sufficient condition was obtained.

运用建立辅助方程的方法研究一类非线性有理差分方程正平衡点的全局渐近稳定性，得到一个充分条件。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。