多线性的

The reason lies in that the conventional representations of PWL functions concern with too many parameters occurring in the function expressions and the domain partitions respectively, which result in the redundance of the parameters in the case of the continuity condition considered.

分片线性模型得不到广泛和系统应用的主要原因是传统的分片线性函数表示式涉及太多的参数，包括定义域及定义域每一部分上函数的定义；当考虑连续性条件时冗余是显然。

We present linear codes over finite fields with Mannheim weight and prove that those codes can correct one error taken from a cyclic subgroup of the multiplicative group of finite fields, which provide an algebraic approach in coding modulation.

最后讨论了有限域上的Mannheim线性纠错码，证明了当错误取值于有限域乘群的一个循环子群时，面向多维信号的线性分组码可以纠单个错并为码调制提供了一种代数渐进方法。

Design method of the electromechanical actuator controller based on the robust mixed H2/H* control theory is studied, taking advantage of the priority of the linear matrix inequation in solving the problems of the multiobject control, the robust mixed H2/H* control problem of the electromechanical actuator under the condition of parameter perturbation and external disturbance can be transformed to the solving of the linear matrix inequation.

研究了基于鲁棒H_2／H_∞混合控制理论的电动舵机的控制器设计方法，利用线性矩阵不等式在多目标综合控制问题求解方面的优势，将存在参数摄动及外部扰动时的电动舵机的鲁棒H_2／H_∞混合控制问题转化为线性矩阵不等式问西北工业大学博士学位论文题并进行求解。

To solve a heavily constrained optimization problem includes linear constraint conditions and non-linear constraint conditions, in this paper, a new comprehensive solution mechanism, based on specialized genetic operators, exact penalty function and initialization with multiple linear feasible solutions, is proposed.

针对一类同时具有线性约束条件和非线性约束条件的重约束优化问题，本文成功地综合采用了专门化遗传算子、精确惩罚函数及多个线性可行解初始化的求解方法，取得了很好的效果。

For the characteristic of the ring permanent magnet torque motor used in direct drive numerical control round table suffering from the effect of load disturbances and parameters variations, a multi-objective mixed H2/H∞ static output feedback controller, which makes all poles of the closed-loop system be located within a prescribed linear matrix inequality region D to achieve pole placement, is designed based on LMI.

针对直接驱动数控转台用环形永磁力矩电机易受负载扰动及自身参数变化影响的特点，文中基于线性矩阵不等式(linear matrix inequality， LMI)，设计了一个多目标混合H2/H￥静态输出反馈控制器，该控制器可使闭环系统的极点均落在预先选定的线性矩阵不等式区域D内来实现极点配置。

Two linear objective programming models are established under the situations where the decision maker has preference information on alternatives, which takes the form of reciprocal judgement matrix and complementary judgement matrix respectively, and a method based on the models is presented for ranking alternatives in MADM.

在决策者对方案的偏好信息以互反和互补判断矩阵这两种形式给出的情况下，分别建立了一个线性目标规划模型，并提出了一种基于线性目标规划模型的多属性决策法。

By using the elementary row transformation in the controllable matrix, the input matrix is replaced by the maximally linear independent set of its column vectors.

中文摘要：分析了求多输入线性系统能控规范型算法的不足，提出了一种新的改进型求解线性定常系统能控规范型的迭代算法。

Symmetry group is semisimple, the system has a fine cascade decomposition that is a qasi-parallel decomposition, which is corresponding to the decomposition of linear systems under the semisimple symmetry algebra.

由于对称代数对线性系统的结构有重要作用，特别是当该代数半单时，系统可分解为多个独立的子系统，因此如何就给定的线性控制系统构造出其对称代数具有重要意义。

According to structural characteristics of floating slab tracks, a track segment element was taken between two adjacent fasteners. For each element, rails were regarded as Euler beams supported by discrete viscoelastic supports. The fasteners and rubber supports were replaced by a linear spring and damp. So the vibration model of the floating slab track was established. In constructing vibration model of a metro train, each car of the metro train with two suspensions was modeled as a multi-rigid body system, in which rigid bodies were connected with each other by a linear spring and damp. Combining the potential energy of vertical vibration of the track with that of the metro train, the total potential energy of vertical vibration of the train and track was obtained. And then, the matrix equation of vertical vibration of the system was established using the principle of total potential energy with stationary value in elastic system dynamics and the "set-in-right-position" rule for formulating system matrices. The vibration responses of the system can be obtained by solving the matrix equation with the direct time integration such as Wilson-θ method.

摘 要：针对浮置板式轨道结构特点，取相邻2个扣件之间的轨道为1个轨段单元，钢轨视为连续弹性点支承Euler梁，浮置板视为弹性薄板，扣件系统及橡胶支座均模拟为线性弹簧及粘滞阻尼器，建立浮置板式轨道振动模型；将城轨列车中的车辆均离散为多刚体系统，各刚体之间通过线性弹簧及粘滞阻尼器相连，建立列车振动模型；将浮置板式轨道及列车振动势能叠加，得到系统竖向振动总势能；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程；采用Wilson-θ逐步积分法求解此矩阵方程，得出此系统竖向振动响应。

In latching the feedback random bit sequences, the linear feedback shift register includes a plurality of bi-stable latches for linearly shifting a mixed random bit sequence outputted by an XOR gate, which is combined with the true random bit sequence.

在锁存所述反馈随机比特序列的过程中，所述线性反馈移位寄存器包括多个双稳态锁存器，其用于线性地移位由XOR门输出的混合随机比特序列，所述混合随机比特序列与真实的随机比特序列组合。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。