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The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate.

结果表明，这一方法不仅保持了原方法的升凹一致性、线性变换一致性，而且具有渐近白指数律重合性和线性收敛速度。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

Firstly, Receding horizon H〓 control based on state feedback with terminal constraints is proposed for systems with disturbance inputs and parameter perturbations. Linear Fractional Transformation and some existed results on Receding horizon H〓 control for systems without perturbations are introduced.

首先针对同时存在外界输入扰动和自身参数摄动的不确定线性时变系统，利用线性分式变换和现有的一些无摄动系统滚动时域H〓控制的结果，得到了基于状态反馈的终端约束滚动时域H〓控制器的设计方法，并给出了控制律存在和使闭环系统渐近稳定的充分条件。

This paper gives an exact solution for free vibration of a physically nonuniform straight bar with vary-ing section by the use of a class of integrable linear ordinary differential equation.

本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。

Under the conditions that the system without impulse effect satisfies the one-side Lipschitz condition, and the impulsive terms satisfy the corresponding Lipschitz conditions, a sufficient condition which can be easily checked the stability of the analytic solution is obtained.

在不受脉冲影响的原方程满足单边Lipschitz条件，及脉冲项满足相应的Lipschitz条件的情况下，给出了一个容易判别的解析解渐近稳定的充分条件。

His English is improving little by little.

他的英语渐有提高。

Foliaceous heart form, normally 3 crack to mid, intermediate lobation grows egg circle and gradually pointed, broad circle of bottom of two side lobation, palm shape nervation.

叶心形，通常3裂至中部，中间裂片长卵圆形而渐尖，两侧裂片底部宽圆，掌状叶脉。

The leaf is large, intimate circle, part is born cauline top, palm state divides mid, lobation is linear wrap around needle form, gradually pointed, topmost 2 crack, two side provide petiole dentate spinule, halberd dash forward apparent, spadix armpit is unripe, bigger, individual plant of different of male and female, female flower is big, globose, helix shape is worn be born on spicule axis; Male flower is small, yellow, move unripe Yu Xiaobao piece in sunken acupuncture point, fructification is close globose, diametical 10-20 centimeter, black Brown, exocarp is smooth, mesocarp is thicker, fiber is qualitative, endocarp is by 1-3 hard osseous divides pit composition.

叶大型，近圆形，集生茎顶，掌状分裂到中部，裂片线状披针形，渐尖，顶端2裂，叶柄两侧具齿状小刺，戟突明显，肉穗花序腋生，较大，雌雄异株，雌花大，球形，螺旋状着生于小穗轴上；雄花小，黄色，着生于小苞片的凹穴里，果实近球形，直径10-20厘米，黑褐色，外果皮光滑，中果皮较厚，纤维质，内果皮则是由1-3枚硬骨质的分果核组成。

Finally, the condition for the local stability of the endemic equilibrium is given.

最后给出地方病平衡态局部渐近稳定的条件。

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％。