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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。

Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质，得到了该模型正平衡态存在惟一性的充分条件；其次，利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件；然后，应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性，并给出了周期解的近似表达式；最后，借助于MATLAB数学软件，举例并绘出了模型数值解的拟合图象，验证了文中定理条件的可行性。

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。

The trend of internationalization of market of world market unifinication, China is not reversible already turn, the test of market economy will be behaved more austerely from this, more sufficient.

世界市场一体化、中国市场国际化的趋向已不可逆转，市场经济的考验由此将会表现得更严重、更充分。

The comments in this book is sufficient to demonstrate the author's study level.

本书中的议论足可以表现出作者的研究水平。

Li and one of his lemmas toabbreviate the nonnormal Cayley digraph 〓 into the case when 〓 is a dicycle.When 〓 is a dicycle,we give the sufficient and necessary conditions for 〓 to benonnormal and the structure of the corresponding automorphism group Aut.

Li定义的一个图〓，其中N是Aut的一个非平凡极小正规子群，和他的一个引理，把对非正规Cayley有向图Γ的讨论简化到〓是一个有向圈的情况，进而决定了当〓为有向圈时，Γ非正规的充要条件和Aut的结构。

My results demonstrate that dAtg1 is sufficient to cause cell death due to the induction of autophagy and apoptosis.

结果显示在果蝇中，Atg1自己就足以引起细胞自噬和细胞凋零而导致细胞死亡。

Finally, with help of a auxiliary equation,a set of sufficient conditions for the global stability of higher order rational difference equations were obtained.

同时，在每章的最后列举了一部分可以用本章所介绍的方法进行研究并可以证明其全局渐近稳定性的方程。

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。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。