norm of a matrix 中文意思是什麼
norm of a matrix
解釋
矩型範數-
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。 -
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。 -
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。 -
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。
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