摘要
分析有限维Morrey-Herz凸空间中微分方程连续解有界性稳定性问题,对解决系统的稳定性分析和控制问题具有指导意义。Morrey-Herz凸空间中微分方程连续解对大规模海量数据集的处理和训练上,有其独特的优势,为了提高许多模型在不同边界条件下的稳定特性,把有限维Morrey-Herz凸空间中微分方程的连续有界解算子进行敏感域分析表征,最后使用二阶泰勒级数展开进行数学证明,采用牛顿算法求解二次矩阵方程,得到解的有界性和收敛性证明,得出了是微分方程连续解进有界的结论,提高许多模型在不同边界条件下的稳定特性。
The analysis of differential equation of finite dimensional Morrey-Herz convex space continuous solution bound-edness stability problem, which has guiding significance to solve the problems of stability analysis and control system. Mor-rey-Herz convex space differential equations of continuous solution treatment and training of the large-scale data set, has its unique advantages, in order to improve the stability properties of many model under different boundary conditions, the differential equations of finite dimensional Morrey-Herz convex space of continuous bounded solution operator to conduct sensitive domain characterization, and finally the use of two order the Taylor series expansion of mathematical proof, using the Newton algorithm for solving two matrix equation, obtain the boundedness of solutions and the convergence is proved, the differential equations of continuous solutions bounded conclusion, increased the number of models in different stability characteristics of boundary conditions.
出处
《科技通报》
北大核心
2015年第10期10-12,共3页
Bulletin of Science and Technology
