For large errors introduced by nonlinear state - space model in passive locating and tracking problems , various suboptimal recursive filtering algorithms are aralyzed and summarized , such as the extended kalman filtering ( ekf ) , the modified gain extended kalman filtering ( mgekf ) , the second order filtering and the adaptive extended kalman filtering ( aekf ) 摘要针对被动定位跟踪中状态空间模型非线性程度较高所引发的滤波精度偏低的问题，分析和总结了已有的包括推广卡尔曼滤波( ekf ) 、修正增益的推广卡曼滤波( mgekf ) 、二阶滤波、自适应推广卡尔受滤波( aekf )等各种次优递推滤波算法的特点。
Basing on the voltage and flux linkage equations of the induction manchine with compound cage rotor , the state space model of the motor is got . if the state equations are considered as news model and the output equations are considered as observation equations , the equations to describe non - linear controled system can be got 从复合笼条转子感应电动机的电压方程和磁链方程出发，推导出了复合笼条转子感应电动机的状态空间模型，以此状态方程为消息模型、电机的输出方程为观测方程，得到了一个描述电机系统的非线性受控系统方程。
Through the equivalent transformation between the linear combination relation of the father - son state in the state equations and the incidence relation of the father - son state nodes in the weighted network , it is realizable to build the block contact of the general structure and the system state variable is the earliest starting time , and collect the incident matrices of the dividing branch nets in whole net , then the parameter matrices of the state space model are obtained 通过状态方程中父状态与各子状态之间的线性组合关系与块网中父状态结点和各子状态结点之间的带权父子关联关系之间的等价转换，实现以工序的最早开工时刻为状态变量的系统状态模块和泛模块的接口与提取总网“划分子网”的关联矩阵得到状态空间模型的参数矩阵。
( 4 ) hardware and software of glass melting furnace were detailed . the method of fuzzy modeling based on fuzzy clustering and the algorithm of nonlinear fuzzy predictive control m entioned above were used to model and control the temperature of glass melting furnace . the result shows their validity 针对玻璃熔窑温度系统的模糊建模与控制问题，采用基于改进聚类算法的模糊建模方法和铁道科学研究院博士学位论文基于ts模糊状态空间模型的非线性模糊预测控制方法，对其进行了模糊建模与模糊控制，仿真结果表明了上述算法的有效性。
For online learning of a rule - based knowledge system , strategies of rule updating in rough set information system and matrix computation algorithms for dynamic modification of rules are given . 4 based on definitions of nonlinear system methodology , rough set based state space model is proposed 4 、从非线性系统分析方法出发，构造了基于粗糙集决策规则的非线性算子方程和粗糙状态空间，分析了粗糙状态空间模型的一致性和完备性，给出了对不一致和不完备的粗糙状态空间模型进行补充的方法。
The second part of the thesis includes a derivation of reduced order models for the activated sludge process . firstly , the paper introduces the derivation of time - varying linear state - space models for the anoxic part and the aerobic part . secondly , by integrating the anoxic part model with the aerobic part model , we can get the resulting models - a time - varying bilinear state - space model for the activated sludge prenitrification system 为了控制应用的需要，本文首先分别建立了缺氧池和好氧池的时变线性状态空间模型，然后把好氧池和缺氧池的时变线性状态空间模型结合起来得到由缺氧和好氧两部份构成的前硝化活性污泥系统的时变双线性模型，最后简单描述了理想状态下沉淀池的模型。
Chapter 8 staticly analyze the effectiveness and its intensity of chinese monetary policy in the is - lm model , and dynamicly analyze the effectiveness and its intensity of chinese monetary policy in the state space model . chapter 9 also make an empirical analyse on effectiveness and its intensity of chinese monetary policy in the as - ad model 因此还分析了利率市场化问题；第八章，在is - lm模型框架下，从实证角度，静态分析了我国货币政策有效性的强弱，同时，还利用状态空间模型，动态分析了我国货币政策有效性的强弱；第九章，在as - ad模型框架下，也从实证角度，分析了我国货币政策有效性及其强弱。
2 ) by analyzing the information and conditional information description mechanism of system states , the problem of stochastic model reduction is investigated based on state aggregation . the information loss and conditional information loss between the full - and reduced - order models are measured by entropy , while the independence and conditional independence within me components of aggregated state are measured by kullback - leibler information distance . several model reduction methods for stable and unstable linear systems are derived by employing two criteria to get aggregation matrices : the minimal information loss and the maximal independence 2 )分析了随机系统状态空间模型中的信息和条件信息描述机制，以shannon熵为手段描述线性系统模型降阶过程中的信息和条件信息损失，以kullback - leibler信息作为衡量降阶模型状态向量各分量之间统计独立性的测度，针对稳定和不稳定系统研究基于状态集聚的模型降阶问题：分别运用最小信息损失准则和最大独立性原则，得出几种状态集聚的信息论方法，并讨论降阶模型的性质、阶次的确定、系统噪声分布特性等问题。
By augmenting the state vector , linearizing the nonlinear augmented state space model and adopting the equivalent measurement equation , the problem of strong tracking extended kalman filtering of nonlinear systems with additive combined colored noise can be converted into the problem of strong tracking kalman filtering of linear systems with correlated process and measurement noise 通过增广状态向量、线性化非线性的增广状态空间模型和采用等效量测方程，将加性复合有色噪声干扰下非线性系统的强跟踪滤波问题转化为过程与量测噪声相关情况下线性系统的强跟踪卡尔曼滤波问题。
A state space model for parts of non - linear oscillation systems is put forward , and the concealed analytical solution for the systems is deduced . a numerical calculation method is presented and the calculation precision is improved greatly through using iterative method . finally the presented numerical method is extended to solve differential equations with complex stiffness matrix 导出了一类非线性振动系统的状态空间模型，在此模型中给出了非线性振动系统的隐式解析解，提出了相应的数值计算方法，并利用迭代法有效地提高了计算精度，最后将该数值方法推广应用到复刚度振动方程的数值求解计算中。
