变质量高阶非线性非完整系统的相对论性分析力学理论

本文同时考虑具有质量分高或并入的变质量和相对论性变质量情况,构造一系列新型的变质量系统的相对论性动力学函数;在m次速度空间中,给出变质量系统的相对论性万有微分变分原理和积分变分原理的各种形式;考虑非完整约束条件,建立变质量高阶非线性非完整系统各种形式的相对论性运动微分方程,并研究这类系统守恒律存在的条件与形式.     

信息熵,约束与序

一个随机系统的几率分布函数Ｐ（ｑ）常是在一定的约束条件下的最大熵分布，而其信息熵Ｓ则是系统状态无序性的量度，本文证明，增加约事的数目和强度都将使Ｓ减少，使系统趋于较有序的状态。     

高阶非线性非完整系统的相对论性广义Boltzmann—Hamel方程

本文由万有D'Alembert原理推导出高阶非线性非完整系统的相对论性广义Boltzmann-Hamcl方程。     

Connecting Conditions and Constraint Equations in Applied Science

IntroductionIn applied science , e . g . machinery , vibrationmechanics , fluid mechanics , and management science , toobtain the opti mal solution of some issues , the objectfunction is usually shown since the abstract mathematicsmodel is set , and all kinds of boundary conditions andconnecting conditions or constraint conditions are putforward . Above these conditions are shown with the shapesof constraint equations . For example ,in machinery opti maldesign, to get the opti mal solution of …     

Global analysis theory of climate system and its applications

The idea and main theoretical results of the global analysis theory of climate system are briefly summarized in this paper. A theorem on the global behavior of climate system is given, i.e. there exists a global attractor in the dynamical equations of climate, any state of climate system will be evolved into the global attractor as time increases,indicating the nonlinear adjustment process of climate system to external forcing. The different effects of external forcing, dissipation and nonlinearity on the long-term behavior of solutions are pointed out, and some main applications of the global analysis theory are also introduced. Especially, three applications, the adjustment and evolution processes of climate, the principle of numerical model design and the optimally numerical integration, are discussed.     

Best Tracking Performance under Plant Uncertainty and Control Energy Constraint

This paper has investigated best tracking performance for linear feedback control systems in the case that plant uncertainty and control effort need to be considered simultaneously. Firstly, an average integral square criterion of the tracking error and the plant input energy over a class of additive model errors is defined. Then, utilizing spectral factorization to minimize the performance index, we obtain an optimal controller design method, and furthermore study optimal tracking performance under plant uncertainty and control energy constraint. The results can be used to evaluate optimal average tracking performance and control energy in designing practical control systems.     

基于均值约束满足度剪枝策略的高效序列模式挖掘算法

为了减少无用候选序列的生成,并使挖掘得到的序列模式符合用户要求,约束条件下的频繁序列模式挖掘已成为数据挖掘领域的一个新的重要研究方向.作为强约束形式的一种,均值约束目前仍然是基于约束的频繁序列模式挖掘的一个困难问题,其主要原因在于很难利用均值约束来进行序列模式挖掘中的剪枝.为此,提出了一种基于均值约束满足度剪枝策略,并且以前缀增长方法为基础设计了一个有效的频繁序列模式挖掘算法.通过分析并实验验证了该算法的时间效率和剪枝性能,结果表明,该方法是有效的.     

一类快速非线性预测控制的分析与改进

针对仿射非线性系统,分析了一类快速预测控制算法稳态误差的来源,给出了误差的解析表达式.通过反馈校正消除稳态误差,提高了算法对模型失配的鲁棒性.对水箱液位控制系统的仿真和实验研究,结果验证了分析和改进的有效性.     

FP_tree算法在入侵检测系统中的应用

指出了入侵检测系统中的常见约束条件,即关键属性约束、挖掘范围约束、个数约束.在分析这些约束条件性质的基础上提出了3种剪枝策略,对基于"支持度-可信度"度量机制的FP_tree算法进行了扩展.实验结果表明:新的算法提高了挖掘效率,删除了许多无意义的模式.