Description of stability for linear time-invariant systems based on the first curvature

This paper focuses on using the first curvature κ(t) of trajectory to describe the stability of linear time-invariant system. We extend the results for two and three-dimensional systems (Wang, Sun, Song et al, arXiv:1808.00290) to n-dimensional systems. We prove that for a system $\text{◂=▸}\dot{r}(t)=\text{◂⋅▸}Ar(t)$, (a) if there exists a measurable set whose Lebesgue measure is greater than zero, such that $\text{◂≠▸}\underset{t\to +\infty }{\lim }\kappa (t)\ne 0$ or $\underset{t\to +\infty }{\lim }\kappa (t)$ does not exist for any initial value in this set, then the zero solution of the system is stable; (b) if the matrix A is invertible, and there exists a measurable set whose Lebesgue measure is greater than zero, such that $\text{◂=▸}\underset{t\to +\infty }{\lim }\kappa (t)=+\infty$ for any initial value in this set, then the zero solution of the system is asymptotically stable.     

Er3+掺杂Li2O-SrO-ZnO-Bi2O3玻璃中Er3+离子在1.53 μm处的荧光发射特性

采用传统的熔融法制备了Er~(3+)掺杂的新型铋酸盐玻璃(Li_2O-SrO-ZnO-Bi_2O_3,LSZB),并对其光谱性质进行了表征,分析了玻璃的拉曼光谱、吸收光谱、荧光光谱,利用Judd-Ofelt理论研究了其荧光特性。LSZB玻璃样品中Er~(3+)的~4I_(13/2)→~4I_(15/2)跃迁发射峰位于1.53 μm处,半高宽约为78 nm。样品中Er~(3+)的~4I_(13/2)能级寿命为2.848 ms,量子效率为99.93%,受激发射截面达到9.76×10~(-21)cm~2。以上结果显示,Er~(3+)掺杂LSZB玻璃有良好的光谱特性。     

容器壁厚度对光栅衍射法测量液体折射率的影响

利用光栅衍射法测量了NaCl溶液的折射率,并分析了容器壁厚度引起的附加光程对折射率的影响.采用折射率修正公式运用一级衍射得到的溶液的折射率更可靠.     

炸药驱动强电流短路开关的研

由于电磁轨道炮和其它强电流装置中短路运行的需要,研制了一种条形炸药驱动的大电流闭合开关。利用爆炸成型技术使金属飞板负电极在炸药部件作用下,大面积地同时切断绝缘薄膜,嵌入另一电极模槽中构成牢固的接触。开关的绝缘强度大于30kV,电感(包括传输线)小于50nH,最大峰值电流达到400kA,闭合接触电阻小于0.1m,动作时间约为14us。对于开关的爆轰,撞击及变形过程进行了一维和二维数值模拟计算,并提出了一个描述爆炸开关行为的经验模型。利用这个模型进行电磁轨道炮整个系统的数值模拟,同实验结果符合较好。     

Synthesis and electrochemical properties of copper(II), manganese(III) phthalocyanines bearing chalcone groups at peripheral or nonperipheral positions

In this study, new chalcone compound 1 , new phthalonitrile derivatives 2 and 3, new copper(II), manganese(III) phthalocyanines bearing chalcone groups at peripheral or nonperipheral positions were synthesized. Electrochemistry of tetra-(4-{(2 E )-3-[2-fluoro-4-(trifluoromethyl)phenyl]prop-2-enoyl}phenoxy) substituted Co(II)Pc and Mn(III)Pcs were studied with cyclic voltammetry (CV) to determine the redox properties of the phthalocyanines. According to the results, while the CuPcs 2a and 3a showed two Pc based reduction reactions and one Pc based oxidation reaction, MnPcs 2b and 3b gave two metal-based reduction reactions. All the redox processes are shifted toward positive potentials as a result of the increased electron-withdrawing ability of the trifluoromethyl substituents.     

一类新图的匹配唯一性

利用图的匹配多项式及其最大实数根的性质证明了树T(1,1,n,2,1)及补图匹配唯一的充要条件是n≠1,2,5,8.     

不同对流马赫数下光束畸变的实验研究

利用双曝光CCD相机成像技术,研究了小直径光束穿越可压缩混合层流场后所引起的气动光学效应.实验研究结果表明:在不同对流马赫数(Mc=0.17,0.45)下,光束投影(点扩散函数,PSF)发生了不同程度的变形和偏移.此外在不同对流马赫数下细光束投影都存在扩束、缩束和面积几乎不变的现象,但光束投影出现扩、缩束的概率不同.     

400W行波热声发电系统的实验研究

本文阐述了为太阳能发电系统设计的400 W行波热声发电系统(TWTAEG)的实验研究过程.实验系统由行波热声发动机和直线发电机组成,系统采用平均压力为3.5 MPa的氦-氩混合气体为工质,其中氩气分压比为1.4%,系统运行频率为74Hz.实验中最大输出电功为446 W,此时的热电效率为13%;在输出电功为416 W时热...     

碳化硅陶瓷密封材料上沉积复合金刚石薄膜

利用直流辉光等离子体化学气相沉积(DC-GD CVD)设备在碳化硅(SiC)密封材料上沉积复合金刚石薄膜(ICD)。实验通过两步工艺,先在SiC上沉积一层微米金刚石薄膜(MCD),然后再沉积一层纳米金刚石薄膜(NCD)形成复合金刚石薄膜(ICD)。通过场发射扫面电镜和拉曼测试,研究了MCD、NCD和ICD薄膜的表面形貌和材料结构。各种金刚石薄膜利用轮廓仪、划痕测试和摩擦磨损测试其力学性能。结果显示ICD薄膜既有较强的结合力,其摩擦系数也较低。ICD薄膜涂层的SiC密封环的摩擦系数为0.08~0.1。     

流动性约束对我国城镇居民消费影响的实证分析

根据1978~2007年我国城镇居民消费和收入的相关数据,对我国城镇居民消费和流动性约束之间的关系进行了实证分析,并检验了流动性约束对消费的影响中是否包含了不确定性因素.分析结果表明:我国城镇居民消费受到较强的流动性约束制约;而流动性约束的测度受不确定性影响较小.