近红外定性分析模型的稳健性与适应性分析

研究了近红外定性分析中模型的稳健性与适应性问题。讨论了单独建模延长建模周期对模型性能的影响,结果显示这种方法可以显著提高模型的稳健性,同时对模型的台间适应性也有所提升,但提升作用有限;研究了不同仪器联合建模的方法对模型性能的影响,该方法不仅可以显著提高模型的适应性,而且可以有效提高模型的稳健性。对比单独建模,可以缩短建模时间,减少模型建立的工作量;延长模型的适用期限,提高建模效率。结果表明,对模型适应性的测试,单独建模其正确识别率较低,不能满足应用的要求,而多台仪器联合建模可以达到90%以上,提升效果明显;对模型稳健性的测试,联合建模也能得到相比单独建模更好的模型识别效果,具有很好的应用价值。     

Stability analysis and control synthesis of uncertain Roesser-type discrete-time two-dimensional systems

We study the stability analysis and control synthesis of uncertain discrete-time two-dimensional(2D) systems.The mathematical model of the discrete-time 2D system is established upon the well-known Roesser model,and the uncertainty phenomenon,which appears typically in practical environments,is modeled by a convex bounded(polytope type) uncertain domain.The stability analysis and control synthesis of uncertain discrete-time 2D systems are then developed by applying the Lyapunov stability theory.In the processes of stability analysis and control synthesis,the obtained stability/stabilzaition conditions become less conservative by applying some novel relaxed techniques.Moreover,the obtained results are formulated in the form of linear matrix inequalities,which can be easily solved via standard numerical software.Finally,numerical examples are given to demonstrate the effectiveness of the obtained results.     

液相色谱-串联质谱法筛查原多甲藻酸毒素及其代谢产物

建立了原多甲藻酸毒素(azaspiracids,AZAs)及其代谢产物的液相色谱-串联质谱检测方法,考察了目标代谢产物检测方法和非目标多离子检测方法,将二级质谱图与标准品谱库进行比对,从而获得高精准定性。通过对产毒藻、蓄积代谢实验样品和实际阳性样品综合分析,共检出11种AZAs,其中包括AZA-2,3,6,11,12,16,17,28和36,以及AZAs的谷胱甘肽结合型代谢产物。结果发现,目标代谢产物检测法可无偏差地筛出常规代谢物,而且对低浓度代谢产物表现出更佳的响应。本方法重现性好,数据分析简单,对操作人员的专业要求不高,更适合AZAs的监控要求。     

从文物中学化学——铁、铜性质主题式复习教学设计与实施

选择"铁、铜性质主题式复习"为案例,以铁器和铜器文物为主题背景,将铁、铜性质的复习与文物知识的介绍结合起来,使学生在学习过程中主动建构知识,在复习化学知识的同时,接触了一些文物知识,拓宽了视野,激发了学习兴趣。     

深水钻井隔水管在平台升沉运动下的参激振动响应分析

建立了深水钻井隔水管在平台升沉运动作用下的参激振动控制方程;利用振型叠加法将控制方程转化成马蒂厄方程形式,并用摄动法对马蒂厄方程进行求解;考虑海水的阻尼作用,得到了隔水管参激振动的马蒂厄不稳定区。最后对参激振动方程进行了实例求解,得到了参激振动下的隔水管位移,并在此基础上对参激振动的稳定性及隔水管强度进行了分析。结果表明:在给定的平台升沉周期与升沉振幅条件下,隔水管外径、壁厚、顶张力的变化均有可能引发隔水管产生参激共振;在不产生参激共振的情况下,隔水管Mises应力随隔水管外径与壁厚的增大而减小,随顶张力与升沉补偿装置轴向刚度系数的增大而增大;最大Mises应力均出现在隔水管顶部,沿水深近似成线性分布。     

BIFURCATION OF CUBIC INTEGRABLE SYSTEM UNDER CUBIC PERTURBATION

In this paper, we consider the bifurcation for a class of cubic integrable system under cubic perturbation. Using bifurcation theory and qualitative analysis, we obtain a complete bifurcation diagram of the system in a neighbourhood of the origin for parameter plane.     

Linear stability of a fluid channel with a porous layer in the center简

We perform a Poiseuille flow in a channel linear stability analysis of a inserted with one porous layer in the centre, and focus mainly on the effect of porous filling ratio. The spectral collocation technique is adopted to solve the coupled linear stability problem. We investigate the effect of permeability, σ, with fixed porous filling ratio ψ = 1/3 and then the effect of change in porous filling ratio. As shown in the paper, with increasing σ, almost each eigenvalue on the upper left branch has two subbranches at ψ = 1/3. The channel flow with one porous layer inserted at its middle （ψ = 1/3） is more stable than the structure of two porous layers at upper and bottom walls with the same parameters. By decreasing the filling ratio ψ, the modes on the upper left branch are almost in pairs and move in opposite directions, especially one of the two unstable modes moves back to a stable mode, while the other becomes more instable. It is concluded that there are at most two unstable modes with decreasing filling ratio ψ. By analyzing the relation between ψ and the maximum imaginary part of the streamwise phase speed, Cimax, we find that increasing Re has a destabilizing effect and the effect is more obvious for small Re, where ψ a remarkable drop in Cimax can be observed. The most unstable mode is more sensitive at small filling ratio ψ, and decreasing ψ can not always increase the linear stability. There is a maximum value of Cimax which appears at a small porous filling ratio when Re is larger than 2 000. And the value of filling ratio 0 corresponding to the maximum value of Cimax in the most unstable state is increased with in- creasing Re. There is a critical value of porous filling ratio （= 0.24） for Re = 500; the structure will become stable as ψ grows to surpass the threshold of 0.24; When porous filling ratio ψ increases from 0.4 to 0.6, there is hardly any changes in the values of Cimax. We have also observed that the critical Reynolds number is especially sensitive for small ψ where the fastest drop is observed, and there may be a wide range in which the porous filling ratio has less effect on the stability （ψ ranges from 0.2 to 0.6 at σ = 0.002）. At larger permeability, σ, the critical Reynolds number tends to converge no matter what the value of porous filling ratio is.     

New Stability Condition of T-S Fuzzy Systems and Design of Robust Flight Control Principle

Unlike the previous research works analyzing the stability of the T-S (Takagi-Sugeno) fuzzy model, an extension on the stability condition of T-S fuzzy systems with a different strategy is provided. In the strategy a new variable, which is relative to the grade of fuzzy membership function, is introduced to the stability analysis and a new stability conclusion is deduced. The definition of stability condition in this paper is different from previous works, though they are similar in form. With the proposed method, the simulation in flight control law shows a better effectiveness.     

洪水作用下土石坝系统结构图仿真与渗流稳定性分析

为了研究土石坝在洪水作用下的渗流稳定性,依托实际水库工程,以土石坝的坝体为主体,重点考虑洪水、水库、泄洪洞模型输入输出的约束关系,建立了该土石坝洪水过程的结构图仿真模型,并计算得到了在典型洪水过程中水库水位变化曲线;在此基础上采用有限元法,考虑非饱和区的影响,对土石坝非稳定渗流场进行了模拟;利用暂态渗流场计算结果,运用Morgenstern-Price法计算分析了土石坝上、下游坝坡的稳定性。结果表明:上、下游坝坡的稳定系数变化趋势与库水位一致,即坝坡稳定系数随库水位的上升而增大,随库水位的下降而减小。库水位变化的结构图仿真、渗流计算、稳定系数计算构建了较为完整的解决方案,为洪水作用下的土石坝渗流稳定性分析提供了新的手段。     

例析高中数学惯性解题错误及对策

正确对待学生的解题错误,是所有教师责无旁贷的责任.因为它是提高学生素质的绝好途径,同时也从一定程度上反映教师的数学素养,所以教师在这方面应多下功夫.本人从它的特性、生成因素以及对应策略三方面,并结合实际题例,进行简单的定性分析.一、习惯解题错误特性一般而言,解题错误就是教学活动中的一种表现,它既受到教学环境与习题本身的制约,又和不同的水平的学生有关.它有自己的特性,这些特性是由数学的特点以及数学活动中的方法所决定的.