基于观测器的非线性系统神经网络鲁棒控制

提出一类不依赖于模型的状态观测器，通过分析其根轨迹和极点要求配置合适的参数，该观测器本身是一个能提取高阶微分的高阶微分器．基于Lyapunov稳定性理论设计了使闭环系统渐近稳定，对模型变化和扰动具有鲁棒性的神经网络自适应控制器．该控制器不仅考虑了闭环系统的输出和设定输入误差的微分，而且考虑了误差的高阶微分，从而提高了控制品质．最后通过仿真例子验证了所提出理论的正确性．     

一类积分加权时滞型非线性微分包含的稳定性

采用多面体Lyapunov函数分析微分包含的稳定性，即通过建立一类内积型Lyapunov—Krasovskii泛函，分析一类积分加权时滞型非线性微分包含的零解渐近稳定性。得到了一些关于零解渐近稳定性和B—鲁棒渐近稳定性的充分条件，这些充分条件在计算上是简洁实用的。     

Boundary Layers in an Ocean Related System

In this article two regularizations of an hyperbolic model system derived from the primitive equations of the ocean (or the atmosphere) are presented. The two regularized systems converge to different limits as the regularization parameter converges to 0. Numerical approximations of these equations and numerical simulations are also presented     

Analysis of Matrix-Convex Functions

The properties of matrix-convex functions, which may take values from an expanded numerical axis, are analyzed. Matrix convexity is specified by a pair of matrices, a final set of matrices, or an infinite family of matrices. The results obtained are used in the theory of differential games.     

Multidimensional Kinetics of Nucleation in Liquid-Vapor Systems

A metastable system is described as an ensemble of locally isolated statistically independent centers, with a possibility of one and only one nucleus of a close-to- critical radius emerging on each one of these centers. It is assumed that this event occurs as a result of fluctuations in a heterophase subsystem and leads to the formation of a viable nucleus at a given point in space. The process of the emergence of this nucleus is treated as the first crossing of the potential barrier by a Brownian particle. Proceeding from the principles of nonequilibrium thermodynamics, dynamic equations of bubble (droplet) growth are derived, which correspond to the Onsager relations. These formulas are used as Langevin equations in multidimensional phase space and are related to the respective Fokker-Planck equation whose solution enables one to determine the local rate of emergence of a viable nucleus and, as a consequence, the rate of its emergence in the entire system. An alternative expression is given for the rate of homogeneous steady-state nucleation, which differs from the classical expression by the pre-exponential factor and, in the case where one parameter (radius) may be sufficient, gives close limits of attainable superheat (supersaturation). Given the expression for the nonequilibrium work of bubble (droplet) and the distribution of heterogeneous centers, the obtained result may be readily generalized to the case of heterogeneous nucleation.     

激光莫尔传感器在精密定位中的应用

应用激光莫尔信号传感器设计了一套精密定位装置 ,可实现高精度位置检测及精密自动定位 ;系统采用的激光补偿技术及差动光栅技术 ,极大地提高了位置检测信号的灵敏度与定位精度 .实验结果表明 ,精密定位装置可获得± 0 1μm的定位精度 ,对集成电路制造技术等精密加工工程领域具有重要的实用价值     

岩土热-流-固耦合理论及在采矿工程中的应用

比较系统地介绍了煤炭工业中遇到的不可忽略的渗流-温度-应力耦合问题，而且对各领域的主要研究方法、研究结果等进行了报道，总结了岩土渗流-温度-应力耦合的研究方法和宏观方程，并提出了若干前沿研究方向。     

四阶泛函微分方程周期解的存在性和全局吸引性

研究四阶泛函微分方程x^（4）（t）＋a1x^′′′（t）＋a2x^′′（t）＋a3x^′（t）＋a4x（t）＋g（t,x（t—τ））=p（t）的周期解问题．首先将该方程转变为四维的拟线性微分方程（组）,得到该方程存在唯一周期解的充分条件;然后通过选取适当的李雅普诺夫函数,推导方程任一解的全局吸引性,并进一步得到方程周期解的全局吸引性．最后,通过实例证实了本文结果的正确性．     

技术进步在经济增长中的定量描述

本文运用二元回归余值方程对GM厂在经济增长中的技术进步进行了估算和预测。     

有关信号的连续频谱及反演的新简化计算

利用傅氏变换的广义微分定理,导出了当信号ｆ（ｔ）分区满足ｎ阶常系数线性齐次微分方程时,求连续频谱的一般代数表示式,最后又给出了寻求连续频谱反演的一个定理,从而可以避免复杂的,有时不易求解的积分方法,对于一类广泛的常用信号使求其傅氏正反主为换的运算得到简化。