双线性系统

For a single-input bilinear singular system, a stable region of closed loop system around the origin is approached.

对单输入的双线性广义系统，探讨出闭环系统在原点附近的一个稳定域。

In the paper, under the condition of that a singular system is admissible, stable controls for a bilinear singular system are designed by using two kinds of Lyapunov function respectively, and the two above control display different forms. At the same time, the control restrained by upper and lower bound is examined.

利用所构造的两种广义Lyapunov函数，在广义系统容许的条件下，分别设计了双线性广义系统的稳定控制，且上面存在的2种控制具有不同的表现形式。

Bilinear transformation was adopted to discrete the mathematic model of the whole simulation system. Considered that LabVIEW was a novel graphic computer language, the practical realization of mathematical model in LabVIEW was presented.

首先采用频率预曲折双线性变换法将控制系统的数学模型离散化；然后在LabVIEW中进行图形化编程，从而实现了基于虚拟仪器的汽轮机系统的仿真。

Near the bifurcation point, the linear stability of difference differential equation which describes acoustooptic bistable systems is analyzed, the expression of resonance frequency and amplification multiple are given.

在分岔点附近，通过对描述布拉格型声光双稳系统的差分－微分方程进行线性稳定性分析，得到了系统对小信号放大时的共振频率，给出了放大倍数的表达式。

ABSTRACT Aiming at problems of trans-vector controller in a vehicle-carried induction motor such as variable rotor and stator resistance following motor temperature, and their inductance varying with flux saturation degrees. Firstly, CSI and VSI are introduced, for CSI, it can hold the advantages both FOC and DTC using stator flux directional, PI parameter and simulation are also introduced. Secondly, equations of IM in the synchronous rotary frame and its static counterpart, as figuring in the saturation condition of magnetic field, are dealt in this paper and the simulation results are presented. Thereafter, the parameter designing of PI trans-vector controller is processed, which features the non-linear model. In practical realization, as neglecting the dynamical change of motor inductance, this paper employs online modification of inductance parameters, according to the flux saturation, then transforms the non-linear equations into linear ones, and so compacts the structure of controller. Thirdly, in view of the maximum torque output is extraordinary requisite when Electrical Vehicle start up, accelerate, and overtake, this paper issues the maximum torque when both inverter and battery capacity is corporeally definite. Fourthly, on-line differentiating and analyzing both rotor's time constants and its flux by using the expanding order reduction and discrete Kalman filter equation are fathomed, in order to realize high-performance trans-vector algorithm, and also the simulation results are presented. Fifthly, the close-loop regenerative brake system, when the EV's torque is set constant, is deduced; at the same time, unification of electric drive model and brake model is executed. Combined with maximum charge current demands, the mathematical model for online yielding torque as a demand.

本论文针对车载异步电机在矢量控制器所遇到的问题：定转子电阻随温度变化及随电机饱和程度变化的转子电感及定子电感而影响电机调速性能提出一套完整的解决方案：分析了电流型逆变器和电压型逆变器在实现矢量控制时控制器参数的计算，分析出对于电流型逆变器在采用定子磁场定向时，其性能同时具有矢量控制和直接转矩控制两者的优势，并对电压型逆变器在转子磁场定向下的模型进行了仿真研究；建立异步电机非线性模型，推导出考虑磁饱和时异步电机在同步旋转坐标系及静止坐标系下的方程，并做出了仿真结果，建立异步电机在非线性模型下的矢量控制调节器的PI参数设计，在实际应用中，若忽略电机电感的动态变化，可以根据当前的磁路饱和状态而在线修正电感参数，从而将非线性方程线性化，降低控制器的复杂度；考虑到电动汽车在起动和加速超车时需要电机有最大转矩输出，本文讨论在逆变器容量一定和电池供电能力有限的情况下电机最大转矩输出问题；推导了异步电机扩展降阶、离散卡尔曼滤波方程在线辨识转子时间常数和转子磁通，用于实现高性能的矢量控制算法，并给出了仿真结果；推导出了电动汽车恒转矩给定的闭环回馈制动系统，实现了电动控制模型和制动模型的统一，而且结合铅酸电池最大充电电流的要求，为制动转矩在线给定建立了数学模型；设计了基于双DSP系统的高性能矢量控制器软硬件框图，并以大量实验数据说明矢量控制在电动汽车应用的实际应用状况。

The main contributions for this dissertation are as follows:The model of SBMJSs is established and the stochastically stabilizable of SBMJSs is defined.

主要的研究结果如下：建立了广义双线性Markov跳变系统的数学模型，给出了系统随机可稳的定义。

The main contributions are as follows:(1) The decoherence suppression of N level Markovian systems is investigatedby the optimal control in the coherence vector representation. The N level Markoviansystem can be described by the master equation, and possesses a standard bilinear formin the coherence vector representation.

本论文利用密度矩阵相干向量表示研究了退相干效应的抑制和相应的纠缠控制问题，论文主要工作包括：(1)在密度矩阵相干向量表示下，利用最优控制研究N能级Markov系统的退相干抑制问题。N能级Markov系统可以用主方程模型描述，在相干向量表示下具有标准的双线性形式。

Geometrical and physical parameters of components of the absorber in the virtual prototype follow from those technical data of a specific passenger car. Bench tests are conducted and a series of experimental results have been obtained by the MTS absorber test machine for the damping force-velocity which can be imposed in the virtual prototype for dynamic simulation. The piecewise, the hysteretic looped and the abnormal looped hysteretic force-velocity curves for the absorbers are, respectively, input into the prototype.

减振器阻尼力—速度特性是根据MTS减振器特性试验机试验结果，通过分段拟合，分别以分段线性、迟滞环和迟滞环畸变情况输入虚拟样机进行仿真分析，试验及仿真结果比较说明：减振器速度外特性采用迟滞环非线性，比采用双线性化模型更接近试验结果，能够更合理地解释试验现象；减振器阻尼力速度特性曲线出现畸变，如在复原行程初期迟滞特性曲线出现交叉现象，可以引发减振器系统动力特性的高频振动成分增加。

We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control.

我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

The second part is the controllability of parabolic equation .We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null-controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control .

第二部分写的是，抛物方程的能控性，我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新