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In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.

利用匹配渐近展开法,讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解,得出了奇摄动边值问题的一致有效的零次渐近展开

By using the estimate for trigonometric sums and the esitimate for general Kloostermann sums, we study the asymptotic properties of N, and give a sharper asymptotic formula.

本文的主要目的是利用三角和估计及广义Kloostermann和估计研究了N的渐近性质,并得到一个较精确的渐近公式。

Both single and double-stable limit cycle flutter states are found in wind-tunnel test. And the conclusion is proofed that the equivalent linearization based on the second order asymptotic solution of KBM method is more accurate than that based on the first order one, which is equivalent to the conventional harmonic balance method.

风洞实验时,吹出了单、双稳定极限环颤振情形,并验证了基于KBM二次渐近解的当量线化分析比KBM法一次渐近解的当量线化分析要精确一些的结论。

Under suitable conditions,and by using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.

在适当的条件下,利用微分不等式理论,讨论了该边值问题解的存在性和渐近性态,给出了渐近估计式:u0-Ui0-u0(0)+O≤u≤u0+O,0≤x≤1。

The first one is an algorithm with terminal sliding mode equality constraint. The second is a dual-mode control scheme, which enlarge the terminal region. The sliding mode based MPC is implemented while system state is outside of terminal region, and sliding mode variable structure control designed off-line is used once system state arrives in the terminal region.

第一种方法为终端滑模等式约束非线性模型预测控制方法,首先离线设计切换函数使得滑动模态渐近稳定,然后在有限预测时域的基础上对切换函数附加一个终端等式约束;第二种方法为双模控制方案,在终端区外采用模型预测控制,使得系统状态在有限时域内到达终端区内;在终端区内部采用离线设计的滑模变结构控制,使得系统渐近稳定。

For delay discrete-time linear system, saturant function is introduced. Thesufficient condition of GAS and RAS is presented by saturant function infimum.

针对时滞离散线性系统,引入饱和函数,利用饱和函数的下确界,建立了系统全局渐近稳定和局部渐近稳定的充分条件。

Last, we study one of the applications of the norm form to the problem of local feedback asymptotic stabilization.

同时讨论了该标准形在局部反馈渐近镇定中的应用,该结果适用于解决局部反馈渐近镇定的临界问题。

This article chiefly introduces some results about vector measure and gives an asymptotic martingale which is L1 bounded amart,not-bounded.

主要介绍向量测度中的一些结论,并给出一个渐近鞅是L_1有界渐近鞅而不是有界的。

Leaves 5--9; petiole 7--13 cm; leaf blade lanceolate to suboblong-lanceolate, 20--50 × 3--5 cm, papery to thickly so, adaxially glabrous, abaxially slightly pilose on veins, base acuminate, apex acuminate to subcaudate.

叶5-9;叶柄7-13厘米;叶片披针形披针形到近长圆形, 20-50 * 3-5 厘米,纸质到厚如此,正面无毛,背面稍具柔毛在脉上,渐尖的基部,先端渐尖到近尾状。

An ABCs based on scalar magnetic potential is proposed and the correspondent mathematical models in spherical boundaries are established.

首先提出了基于标量磁位的渐近边界条件,建立了球形边界的标量磁位渐近边界条件数学模型。

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