一类带弱奇异核的偏积分微分方程的数值解

给出了数值求解一类偏微分方程的一种一阶全离散格式。x方向采用Galerkin谱方法,t方向用拉普拉斯的数值逆求解。该方法选择适当的n可以达到所需要的精度。     

利用运算矩阵数值求解常微分方程的改进方法

给出一种基于Haar小波积分运算矩阵求解常微分方程的改进方法,称之为区间分段法.在相同误差条件下,该方法计算速度更快,同时,对于不同的子区间,可根据精度的要求来设定离散点数,增加了应用的灵活性.     

双Sine-Gordon方程的简洁解法(英)

借助于一个可用分离变量法求解的辅助常微分方程,简洁地求得了双sine-Gordon方程的若干显式精确解.     

二阶微分方程三点边值问题的可解性

考虑如下3点边值问题:u″=f(t,u,u′)+e(t)u(0)=0,u(1)=αu(η)其中:f:[0,1]×R2→R连续,e(t)∈C[0,1],η∈(0,1),α为任意的常数.通过对一族边值问题解的先验估计,利用Leray-Shauder连续性定理,得到解的存在性.     

具系数扰动的非线性微分方程的一致渐进稳定的概周期解

考虑具系数扰动的非线性微分方程,利用指数型二分性及稳定性有关理论得到了该系统的概周期解的存在性、唯一性和稳定性,获得了一些新的结果.     

不确定Liu混沌系统的动态面跟踪控制

针对一类含有常参数不确定性及外部干扰的Liu混沌系统的跟踪控制问题,采用动态面控制方法设计了一个新颖的非线性自适应鲁棒跟踪控制器。该方法由于在逆推设计过程中结合使用了一阶低通滤波器,从而避免了因“微分项的膨胀”而引起的算法复杂性。理论分析及仿真结果均表明所得到的控制器能够保证闭环系统的半全局渐近稳定,使得输出渐近期望跟踪轨迹,且对不确定性具有良好的适应性及鲁棒性。     

基于观测器的时滞依赖鲁棒无源控制

研究一类带有参数不确定性和时变时滞的不确定线性系统的鲁棒无源控制问题。针对标称系统,利用线性矩阵不等式给出其时滞依赖无源性条件;讨论当系统的系数矩阵出现参数不确定时,存在基于观测器的控制器使得闭环系统是强鲁棒稳定且严格无源的时滞依赖性充分条件。构造出期望的观测器和控制器。数值算例说明结论的有效性。     

Design of Luenberger function observer with disturbance decoupling for matrix second-order linear systems-a parametric approach

1.INTRODUCTIONThere have been many approaches to disturbance de-couplinginlinear multivariable control systemdesign.Linnemann[1]proposed a numerically stable algorithmfor disturbance decoupling by measurement feedback.Van Der Woude[2]considered the combined problemof disturbance decoupling and stabilization by mea-surement feedback.Syrmos[3]proposed a numericallyefficient algorithm based on Sylvester equations forthe problemof disturbance decoupling with arbitrarypole placement usingstat…     

Feedforward and feedback optimal control for linear time-varying systems with persistent disturbances

1 .INTRODUCTIONIn nature ,there are various external disturbancesaffecting the performances of systems . Many con-trol problemsinvolve designing a controller capableof stabilizing a given linear system while mini mi-zing the worst-case response to some additive dis-turbances . This problemis relevant to disturbancerejection and cancellation. One application area ofinterest is flight control through wind shear ,where disturbances arise from a modal for windshear based on harmonic oscillati…     

Using the Viable Systems Model to Structure a System Dynamics Mapping and Modeling Project for the Australian Taxation Office

This paper is a case study of a major System Dynamics (SD) intervention in policy design in the Australian Taxation Office. The project, which lasted two years, tested a number of hypotheses regarding the application of Stafford Beer's Viable Systems Model (VSM) to the structure and process of the project. The paper reports that the success of the VSM within the ATO was qualified by political changes in the external environment.