一类带滞量的微分方程解的有界性

利用辅助函数对一类二阶非线性微分方程进行研究,给出了其解有界的充分条件.     

一阶脉冲偏微分系统的有界性

给出一阶脉冲偏微分系统的有界性定理。     

一类非线性微分系统解的有界性

研究了一类非线性微分系统解的有界性,获得了此微分系统所有解都有界的一组充分必要条件。     

Deterministic learning from control of nonlinear systems with disturbances

In this paper, we investigate deterministic learning in environments with disturbances. We will show that for a class of uncertain nonlinear systems with bounded disturbances, by using an appropriately designed adaptive neural controller, the disturbances are attenuated and the system output tracks a periodic orbit in finite time. As radial basis function (RBF) neural networks (NN) are employed, this leads to the satisfaction of a partial persistence of the excitation (PE) condition. By using the uniform complete observability (UCO) technique, it is analyzed that partial estimated NN weights will converge to a neighborhood of zero, with the size of the neighborhood depending on the amplitude of disturbances as well as on the control gains. Locally-accurate approximation of unknown system dynamics can still be achieved in the stable NN control process. The approximation error level is influenced by the amplitude of disturbances. The obtained knowledge of system dynamics can be reused in another control process towards stability and improved performance. Simulation studies are included to demonstrate the effectiveness of the approach.     

拟共形映射与John域

本文证明了有界一致域必定是John域和John域的拟共不变性.     

一类多时滞差分系统的定性性质

考察一类具多时滞的离散Lotka-Volterra互惠模型.利用迭代理论、M—矩阵理论、单调理论,分析该系统的持久存在性和吸引性,得到了该差分系统一致持久存在和其正解全局吸引的充分条件.     

非光滑多目标优化问题中KT乘子集的非空有界性

运用次微分convexificator提出约束规格并研究具有不等式和集合约束的局部Lipschitz多目标优化问题KT乘子集的非空有界性, 得到了在局部弱有效解处所提出的约束规格是KT乘子集非空有界的充分必要条件.     

均匀设计法优选虎杖白藜芦醇的提取工艺

目的优选超声波法提取虎杖中白藜芦醇的最佳工艺。方法本研究以虎杖中白藜芦醇的提取量和吸光度值为考察指标,通过均匀设计法实验研究4个因素对提取效果的影响。结果实验得到从虎杖中提取白藜芦醇的最佳工艺为：100％乙醇-丙酮（1：1）,料液比为（1：25）,pH=6,浸泡时间24h,超声温度为30℃,提取时间为30min,平均2次提取,提取率为0．390％。结论该实验确定的最佳提取工艺简便易行。     

非线性积分不等式及在微分方程中的应用

讨论一类更广泛的非线性积分不等式,和已有文献中的结果相比,文章中的结果不需要函数单调性的限制,从而使得结果有更大的应用范围,并且将结果应用到证明某些偏微分方程的解的有界性。     

一类函数列一致收敛性的研究

文献[1]研究了形为{fn=n^kx^l/e^n^sx^t}的函数列一致收敛的几个例子。本文研究形为形式{fn=n^kx^l/e^n^sx^t}的函数列一致收敛的充要条件,在此基础上进一步研究和推广到这类函数列的导函数列和积分函数列一致收敛的条件。