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相容性的证明

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In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中,我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题,给出了状态能控时的约束相容性条件,给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式,证明了最优控制属于控制集合的边界。

The blends of PE-g-MAH and gelatin were prepared by melting process and the compatibility of PE-g-MAH and gelatin in blends were characterized. The results of FTIR showed that the characteristic absorption band peaks of amine and amide groups of gelatin were shifted in PE-g-MAH/Gelatin blends, the equilibrium values of torque were higher with the increase of blending temperature, which proved that graft copolymer PE-g-MAH-g-gelatin was formed during the preparation process, and the amount of PE-g-MAH-g-gelatin was increased with increasing the amount of PE-g-MAH. SEM micrographs exhibited that there was PE-g-MAH-g-gelatin formed in surface of gelatin phase.

通过红外光谱分析、HAAKE流变分析、抽提等实验证明:共混物中明胶的氨基、酰胺基团吸收峰峰位发生了明显的变化;在熔融共混过程中,随着温度的提高,平衡扭矩增大;明胶与PE-g-MAH发生了反应形成PE-g-MAH-g-明胶接枝共聚物,而且随着PE-g-MAH用量的增加,形成接枝共聚物的量也提高;SEM的实验结果表明,在明胶的表面确有接枝物形成;通过DMA测试共混物的玻璃化转变温度,发现两组分的玻璃化转变温度差值减小,二者的相容性提高,实现了共混体系的自增容。

It was shown that the absorption peaks of amine and amide groups of gelatin were shifted in HDPE/PE-g-MAH/Gelatin blends because of the reaction of PE-g-MAH with gelatin. The addition of PE-g-MAH made the increase of HDPE glass transition temperature. The compatibilizing effect of PE-g-MAH was due to the crystal compatibility produced by forming the co-crystals of HDPE, PE-g-MAH and PE-g-MAH-g-gelatin. The blends of EAA and gelatin were prepared by melting process and the compatibility of the blends was also studied. The FTIR results showed that absorption peaks of amine and amide groups of gelatin were shifted in EAA/Gelatin blends.

通过红外光谱分析、HAAKE流变分析、抽提等实验证明:共混物中明胶的氨基、酰胺基团吸收峰峰位发生了明显的变化;在熔融共混过程中,随着温度的提高,平衡扭矩增大;明胶与PE-g-MAH发生了反应形成PE-g-MAH-g-明胶接枝共聚物,而且随着PE-g-MAH用量的增加,形成接枝共聚物的量也提高;SEM的实验结果表明,在明胶的表面确有接枝物形成;通过DMA测试共混物的玻璃化转变温度,发现两组分的玻璃化转变温度差值减小,二者的相容性提高,实现了共混体系的自增容。

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