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稳定性条件

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By using the continuation theorem of coincidence degree theory, homotopy invariance property and Lyapunov's approach, some sufficient conditions ensuring the existence and stability of positive periodic solutions of the system are obtained.

利用Mawhin重合度理论,并结合同伦不变性质,以及Lyapunov方法,获得该系统正周期解的存在性和全局稳定性的充分条件,推广和改进最近一些文献的结果。

A dynamics model of howitzer on launch is investigated for predicting the firing stability of vehicle mounted howitzer s under different conditions .

摘要为了预测车载榴弹炮在不同条件下的射击稳定性,需要建立火炮发射时的动力学模型。

On the other hand, the Ag42In42Ca16 icosahedral quasicrystal is stable both chemically and structurally under the same conditions.

在相同条件下,二十面体准晶Ag42In42Ca16保持不变,具有高的结构和化学稳定性。

It was stable in high temperature and illumination.

在高温、光照条件下稳定性良好。

The stability of the impaction compensation method was analyzed.

分析了该补偿方法对控制系统稳定性的影响,得出了保证系统稳定的充分条件。

The Diels-Alder cycloadditions of [60] fullerene for preparation of optical limitingmaterials are discussed in chapter 3 and 6. Soluble cycloaddition derivatives of 〓aresynthesized by the reaction of 〓 with indene,1,1'-biindene andcyclopentadiene derivatives.〓Particular, the Diels-Alder cycloaddition of 〓 with1,1'-biindene under controlled conditions affords the stable monoadduct 〓〓of novel structure, which was confirmed by HPLC, FTIR, FD-MS,〓NMR,〓 NMR, HMQC and HMBC spectra, Its two bridgehead cage carbons resonate at70.91ppm, The 〓 NMR spectra showed 38 lines consistent with the 〓 symmetryassociated with [6,6] addition. The 〓 shows similar optical limitingproperties to that of 〓 in toluene for 8ns laser at wave length 532nm. Moreover, thehigh solubility of this adduct in polar solvents such as THF, acetone enables itsincorporation into sol-gel glass matrix. The thin films prepared via the sol-gel methodshow improved OL behaviour compared to those of 〓. The langmuir-Blodgett filmformation and uv-visible absorption of 〓 are also investigated. LBmonolayer of this compound is prepared on the air-water interface at 〓 mol/l. In chapter 4, three water-soluble derivatives of [60] fullerene: fullerol(1), theaddition product (2)of fullerol (1)with polyvinylpyrrolidone and fumaric acidderivative of 〓(3) are synthesized and characterized.

通过Diels-Alder环加成反应,用茚〓和1,1'-联茚〓及取代茂合成了一系列可溶性的〓环加成衍生物,发现可控制反应条件,使1,1'-联茚与〓反应,并高产率地得到具有新颖结构的单加成物,用HPLC、FTIR、FD-MS 及〓、HMQC、HMBC等多种波谱技术对其结构进行表征,测得它的两个〓杂化的桥头碳的化学位移为〓ppm,证明生成的衍生物为6∶6闭式环加成,〓NMR谱中共给出38个信号,表明〓联茚衍生物分子具有〓对称性;在波长532nm,脉冲宽度8ns的激光下,〓联茚衍生物的甲苯溶液的光限幅性能与〓的甲苯溶液相近,由于〓联茚单加成衍生物熱稳定性好,在四氢呋喃,丙酮等极性溶剂中溶解性好,能分别均匀地掺入溶胶-凝胶中,已发现它的溶胶(so1)光限幅性能优于纯〓的光限幅性能;使用Langmuir-Blodgett技术将〓联茚衍生物在空气和水的界面进行了LB单层膜和多层膜实验以及UV-Vis吸收谱研究,通过等温压缩曲线测试,证明浓度为〓〓时,〓联茚衍生物能够形成单层膜。

The sufficient condition of the system stability is given in terms of linear matrix inequalities.

系统稳定性的充分条件以LMI的形式给出。

Recently open-chain marocyclic ligand and then lanthanide complexes have attracted much attention mainly because the ligands have the unique molecular structures: changeable chain, inflexibly terminal group and high selectivity and coordination to lanthanide ions.

一个优良的发光器件必须具备以下几个条件:配体对金属离子有较高的选择识别性能;配体含有共轭发色团有利于能量从配体向中心离子转移;配合物具有相对较高的动力学和热力学稳定性。

The insurgence of buckling and flutter is investigated to identify limiting operating conditions and predict stability limits.

通过研究这种弯曲和振动可以确定运动体的极限工作条件和预测它的稳定性极限。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰,利用一个变换和不等式技巧,将观测器的设计,误差方程的稳定性归结为一个矩阵不等式,给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件,一个例子说明了所提定理的可行性。

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