norm of matrix 中文意思是什麼
norm of matrix
解釋
矩陣的范數-
The centrosymmetric solution of minimum frobenius norm of the matrix equation axb
的最小二乘自反解 -
The problems of robust stability for a class of lurie direct or indirect systems with time - delay and norm - bounded uncertainties are discussed using delay dependent method. method of linear matrix inequality is adopted to resolve the problems. comparing with the other sufficient conditions, the maximum delay obtained in this paper is less conservative
2 .針對具有范數有界不確定參數的lur記時滯系統，分別給出了lurie直接型系統時滯相關的魯棒絕對穩定性條件和穩定化控制器以及lurie間接型系統時滯相關的魯棒絕對穩定性條件，結論均採用線性矩陣不等式的形式給出，通過和最近的其他充分性方法比較最大的時滯界，表明本文方法大大減少了保守性。 -
The paper is built as follows. in chap 1, we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first. the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的結構如下：第一章先給出了vandermonde方程組的極小范數最小二乘解的一些實際應用背景，然後通過構造方陣v ~ tv （或vv ~ t ）並求其逆矩陣導出了求以m n階vandermonde矩陣及其轉置，以及m n階跳行vandermonde矩陣為系數陣的線性方程組極小范數最小二乘解的快速演算法。 -
A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula
作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。 -
The paper introduces the optimal design of the second grade level net in fuoshan, expounds the evaluating method on accuracy for different net pattern based on the principle of indirect balancing and the computing function of the excel matrix, and selects a pattern which meets the needs of national norm for net form, the density of point, accuracy and reliability
摘要本文介紹了佛山市二等水準網項目的優化設計，重點闡述了根據間接平差原理對不同的布網方案，利用excel的矩陣計算功能實現精度評估的方法，評選出一套從網形、點位密度、精度、可靠性等方面都符合國家規范和佛山特點的方案，以供參考。 -
The main contents of this paper are outlined as follows, 1 for time delay systems with norm - bounded uncertainties, a sufficient and necessary delay independent robust quadratically stabilizable condition, the corresponding robust stabilizing controller designing method by state feedback, a sufficient delay - dependent robust stabilizable condition and state feedback controller designing method are given in terms of linear matrix inequalities
主要研究內容包括1 、研究一類同時存在狀態和控制滯后的不確定時滯系統的狀態反饋魯棒鎮定問題。給出了一個系統魯棒二次可鎮定的充分必要條件，以及系統時滯依賴魯棒可鎮定的充分條件及相應的狀態反饋魯棒鎮定控制器設計方法，結果以線性矩陣不等式的形式給出。 -
Discuss the symmetric solutions under restriction of norm - function using the singular value decomposition of matrix
利用矩陣奇異值分解討論范函數約束下的對稱解 -
Hx theory and relative principle of filtering are studied. the relation between hx norm performance and riccati equation or inequality is discussed. the structure and plus matrix of hx filtering in different conditions ( linear discrete, linear continue and nonlinear system ) are given
介紹了h _基本思想和濾波的相關理論，討論了h _范數與黎卡提方程和不等式的關系，討論了卡爾曼濾波和h _濾波確定增益矩陣的方法，給出了各種不同情況下h _濾波的基本結構和增益矩陣的確定方法。 -
Fist, the problem of robust stability for the uncertain linear discrete - time systems is studied where the uncertain matrixes are unstructured, highly structured, norm bounded and matrix polytope structured. the relevant conditions that the systems is robust stability are obtained using the characteristic value method, lyapunov function method and linear matrix inequality method. then we give some examples to prove
分別針對具有非結構不確定性、強結構不確定性、矩陣多胞形結構不確定性和范數有界不確定性等線性離散系統，利用特徵值方法、 lyapunov函數方法和線性矩陣不等式方法等進行討論，給出了相應系統的魯棒穩定性判別條件，並通過算例進行了驗證。 -
The minimum norm solutions of matrix equations axat bybt azbt
的極小范數解 -
The symmetric ortho - symmetric solution of minimum frobenius norm of matrix equation axat
的對稱最優解及最佳逼近 -
Based on the lyapunov approach, my main results are obtained as follows : 1. the decoupling of the linear time - invariant system and linear time - delay system are discussed. for linear systems with norm - bounded uncertainties, conditions for energy decoupling with input transformation or both state feedback and input transformation are given in terms of linear matrix inequalities
討論了線性定常系統和時滯系統的能量解耦，研究了具有范數有界不確定參數的線性不確定系統，給出了不確定線性系統僅具有輸入變換、同時具有狀態反饋和輸入變換情況下的能量解耦方法，結果以線性矩陣不等式的形式給出。 -
In the presence of impulsive noise, the two received signals are combinated, so the estimated impulse response of the channel is the eigenvector of its covariation matrix corresponding to the smallest eigenvalue, which can be realized adaptively using generalization of the normalized least mean - norm ( generalized nlmp ) algorithm
該演算法在脈沖噪聲環境下，組合兩個接收信號，使其共變矩陣最小特徵值對應的特徵向量為通道的估計，並基於廣義歸一化最小平均范數（廣義nlmp ）方法自適應得到該特徵向量，從而獲得時延估計。 -
The minimum norm estimation of covariance matrix in the extended growth curve model with covariant variables
有協變量的推廣增長曲線模型中協差陣的最小模估計 -
Based on the generalized riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback h controllers, which guarantees that the resulting closed - loop system is admissible with its transfer function matrix satisfying h norm constraint
本文首先利用線性矩陣不等式和廣義riccati不等式（ gari ） ，給出離散廣義系統中存在靜態輸出反饋h控制器，使得閉環系統是容許的且其傳遞函數矩陣滿足h范數約束的充要條件。 -
Firstly, considering the uncertainty as full - block matrix whose h norm is bounded, a robust controller is designed and robust stability of the system is analyzed using method. secondly, given the structure information of the uncertainty, synthesis is adopted to design a robust - performance controller to eliminate conserveness in h design. finally, combining the individual advantage of h2 control and h control, a mixed h2 / h optimal controller is designed based on linear matrix inequality which makes the system have good time - domain lqr performance as well as robust stability
首先，將未建模不確定性看成是范數有界的滿塊矩陣，設計了h _魯棒控制器並用方法分析了系統的魯棒穩定性；其次，考慮未建模不確定性的結構信息，利用綜合設計了魯棒性能控制器，克服了h _控制理論設計時的保守性；最後，結合h _ 2控制和h _控制各自的優勢，基於線性矩陣不等式（ lmi ）設計了h _ 2 h _混合最優控制器，使得系統既具有良好的時域lqr性能又具有較強的魯棒穩定性。 -
The minimum norm solutions of two classes of matrix equations
兩類矩陣方程的極小范數解 -
This method can guarantee the solution matrix of sylvester equation to be inverse and the sum of the input gain norm and the observer gain norm is the minimum. for the linear systems with unknown parameters, we identify the parameters using hopfield network, then design the observers using the identified parameters, the exponential convergence of adaptive observer is also proved. for the linear time - varying systems, a new network to solve the time - varying sylvester equation is proposed, we analysis it ' s convergence and robustness, then, deign the linear time - varying observer using this network model, and we discuss the convergence of the observer and ruboustness to unknown match parameters
同時保證了sylvester方程的解矩陣的可逆性和觀測器的增益矩陣與輸入矩陣范數的和最小；在設計線性時不變自適應觀測器時，首先利用系統的輸入、輸出數據設計一個hopfield網路參數估計器，進一步設計狀態觀測器，證明了參數估計器和狀態觀測器的指數收斂性；為了仍然從神經優化計算的角度設計線性時變系統的狀態觀測器，最後介紹了一種求解時變sylvester矩陣方程的神經網路模型，分析了它的收斂性和魯棒性，然後利用該網路設計時變狀態觀測器，進一步討論該觀測器的在系統存在未建模不確定和外部噪聲時的魯棒性；最後給出了一種基於分離性原理和hopfield網路觀測器的狀態反饋閉環系統的結構，分析了該閉環系統的特點；對于每一種設計方法都給出了相應的數值模擬例子來進一步表明所提方法的可行性和有效性。 -
An explicit expression to compute h norm and obtain h controller, which are recently obtained for continuous - time state - space symmetric systems, are extended to more general case of continuous - time symmetric systems. the computations of h norm only need to compute the maximum eigenvalue of a symmetric matrix, which only contains the system matrices
把一最近文獻得到的有關連續時間狀態對稱系統h ~范數和h ~控制器的明顯解結果推廣到更廣泛連續時間對稱系統，所得到h ~范數計算僅包括系統矩陣。 -
Fast algorithms for the minimal norm least square solutions of loewner matrix
方程組極小范數最小二乘解的快速演算法
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