范数

An equivalent condition for the singular discrete linear systems to be regular, causal, stable as well as the transfer function satisfying a prescribed H-infinity norm bound is obtained by means of linear matrix inequation method.

利用线性矩阵不等式方法，导出广义离散线性系统正则、因果、稳定且传递函数满足给定的范数界的等价条件。

The LTR of centralized multivariable control systems is then generalized to decentralized control large-scale interconnected systems by H∞ optimal theory. The difficulty to compute the infimum of H∞-norms of recovery matrices in the set of all possible gains of decentralized observers is avoided.

基于H∞理论，将多变量系统的回路传递再生方法推广于分散控制关联大系统，并避免了在所有可能的分散观测器增益构成的集合上，直接计算再生矩阵的H∞范数下确界的困难。

In chapter 3, Jordan derivations and Jordan isomorphisms of nest algebras are investigated. It is proved that every Jordan derivation of nest algebra is an inner derivation. Every Jordan isomorphism between nest algebras is either an isomorphism or an anti-isomorphism. Finally, a norm estimate for derivations of nest subalgebras of von Neumann algebras is given, and it is shown that every nest subalgebra of factor von Neumann algebras has property AIP .

第三章研究了套代数上的Jordan导子和Jordan同构，证明了套代数上的每一个Jordan导子都是内导子；套代数之间的每一个Jordan同构要么是同构要么是反同构；最后给出了因子von Neumann代数中套子代数上导子的一个范数估计，同时也证明了因子von Neumann代数中的任何一个套子代数都具有AIP性质。

By means of the Hausdorff-Young inequality of convolution integral, the convergence of the updating rule is analyzed in the sense of Lebesgue-p norm. Invention of the nonlinearity and the interaction on convergence are discussed.

通过卷积的 Hausdorff-Young 不等式，本文分析了学习控制律在 Lebesgue-P 范数意义下的收敛性，讨论了系统的非线性性和关联性对控制律收敛性的影响。

The major contributions of this dissertation are as follows:(1) Based on integral inequality, an LMI approach to the robust stability, robust stabilization and robust H_∞control of uncertain continuous-time and discrete-time linear singular systems with time-varying delay is developed.

论文主要工作有以下几个方面：(1)针对一类具有范数有界不确定的线性奇异时变时滞系统，基于积分不等式或有限和不等式，分别讨论连续和离散情形下的鲁棒稳定、鲁棒可镇定问题和鲁棒H_∞控制问题。

In this paper, the influence of error propagation on soft demodulation in coded MIMO system is analyzed in detail. Besides, based on the thought of soft symbol interference cancellation, Iterative Channel Soft Information for coded MIMO system is further deduced and proved to have the same form as the inverse of row norm of Moore-Penrose inverse of channel matrix.

摘要该文针对编码MIMO系统，分析了MIMO检测过程中串行干扰删除引入的误差传播对软解调的影响，同时，借鉴软符号干扰消除的思想，推导出该系统中迭代信道软信息(Iterative Channel Soft Information， ICSI)的计算方法，并证明了该信道软信息等价于信道矩阵广义逆的行范数的倒数。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

Chapter 5 deals with the solvable theorem of adaptive inverse optimal control problems for a class of stochastic nonlinear systems driven by Wiener noises of unknown covariance. The systems are depicted by It〓 stochastic differential equations. By using an adaptive backstepping algorithm and stochastic control Lyapunov functions, the designing procedure of control laws of global asymptotic stability in probability and adaptive inverse optimal stabilization in probability are presented systematically. Adaptive control laws and parameter update laws can be obtained at the same time by this design scheme.

在第5章中，针对具有方差不确定Wiener噪声扰动和未知定常参数的随机非线性系统（假设方差的F—范数是一个常数或一个缓慢变化的量，对其进行在线辨识），给出并证明了自适应逆最优控制问题可解定理，基于随机Lyapunov定理和It〓微分规则，采用自适应Backstepping设计方法，系统地设计了全局依概率渐近稳定和自适应逆最优控制策略，这种设计方法可同时获得控制策略和自适应律，计算机数值仿真结果表明该控制算法是有效性的。

Presents the design of longitudinal control for ASTOVL lift-fan aircraft, a multi-variable, strong-coupling, complicated nonlinear system to make the system nonlinear offset and decouple, and the method used for linear system in designing the system to gain expectant flying qualities and the combination of aerodynamic control surfaces with thrust vectors to delay the control surfaces getting into saturation, and the minimum N-norm generalized inverse theorem of weighted generalized inverse adopted to apportion the moments commands, which make the control surfaces gain appropriate deflection and the simulation results to verify the dynamic inverse control laws designed really make the system nonlinear offset and decouple; when one command is given, only this output will response, and others do not response; when all commands are given together, the responses will be just the linear superpose of the response of each command, therefore the operation of the pilot will be simplified greatly.

摘 要： ASTOVL升力风扇飞机是多变量、强耦合、复杂的非线性系统，采用非线性动态逆理论设计控制律以实现系统的非线性对消及解耦，然后，采用线性系统的设计方法对系统进行设计，以使系统获得期望的飞行品质。同时，考虑到ASTOVL升力风扇飞机是由气动舵面和推力矢量融合作用的，为了延缓各舵面进入饱和的时间，采用加权广义逆中的极小N-范数广义逆定理分配力矩指令，从而使各舵面达到适当的偏转角。并将所设计的控制律进行了仿真，结果验证了所设计的动态逆控制律使系统实现了非线性对消和解耦，单个指令作用时，只有该项响应，其余不受影响；所有指令作用时，其结果就等于单个指令作用时的线性叠加，这样使驾驶员的操纵大大简化而易于控制，从而大大降低了飞行事故率。

In this paper, Weighted Orlicz-Bergman spaces defined on the unit disc and their composition operators are discussed, norm and invertibility of composition operators are given.

讨论了复平面内单位圆盘上的加权Orlicz-Bergman空间以及这些空间上的复合算子，给出了复合算子的范数估计及可逆性条件。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。