矩陣的范數 的英文怎麼說

中文拼音 [jǔzhèndefànshǔ]
矩陣的范數 英文
norm of a matrix
  • 矩 : 名詞1. （畫直角或正方形、矩形用的曲尺） carpenter's square; square2. （法度; 規則） rules; regulations 3. [物理學] moment
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 范 : 名詞1 [書面語] （模子） pattern; mould; matrix 2 （模範; 榜樣） model; example 3 （范圍） boundar...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 矩陣 : [數學] matrix; array
  • 范數 : norm
  1. Witten ' s open string field theory formulate the interaction of bosonic open strings in the language of noncommutative geometry. compactification of matrix theory on the noncommutative torus was argued to correspond to supergravity with constant background three form tensor field. more generally, it has been realised that noncommutative gauge theory arises in the worldvolume theory on d - brane in the presence of a constant background b field in string theory

    Witten的開弦場論用非對易幾何描述了玻色開弦的相互作用；在非對易torus上的矩陣理論的緊化對應于帶有常數三形式張量場的超引力；更為普遍的，非對易規范理論可以自然地產生在帶有常數b背景場的三維d - brane上。
  2. Fist ly, use mass equivalent method to predigest the original rotor system. secondly, use transfer matrix arithmetic to have finished the relative program to calculate the critical speed of flexible multi - tray rotor bearing system by matlab language. thirdly. finish program the unbalance response using riccati - transfer matrix arithmetic and finity buck arithmetic. fourthly, answer to the high vibration of uncontroled system when cross the critical speed, come out to adopt changing clearance damper bearing to control the viberation

    本文對多柔盤轉子-支承系統的振動現象做了以下初步探索：用質量離散化方法把原轉子系統簡化；採用matlab語言編制了對傳遞矩陣法計算多柔盤轉子-支承系統的臨界轉速；用matlab語言對riccati傳遞矩陣法和有限元法編制了程序計算系統的不平衡響應；並針對其過臨界轉速時振動較大的現象，提出採用變間隙控制油膜剛度和阻尼，從而使原系統的在特定轉速（臨界轉速）的一段范圍內不平衡響應減小；並從被動控制與主動控制兩方面進行數值模擬，取的了較好的控制效果。
  3. With the generalized algebraic riccati inequality ( gari ) approach, a sufficient and necessary condition for the existence of dynamic output feedback h controllers is presented, such that the resulting closed - loop sy stem is admissible with its transfer function satisfying h norm constraint

    利用廣義代數riccati不等式，給出離散廣義系統存在正常動態輸出反饋h控制器，使得閉環系統是容許的且其從外界干擾輸入到受控輸出的傳遞函數矩陣具有h范數約束的充分必要條件。
  4. 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。
  5. Present methods generally based on the statistics of earthquake damage, expert experiences, theory analysis and experimental researches have obvious advantages, disadvantages and certain scopes of application ; ( 2 ) different prediction methods should be adopted against different building conditions, sites, intensity and experiences etc to predict earthquake damage of buildings for prospective accuracy, dependability and availability ; ( 3 ) earthquake damage matrix, which is the foundation of earthquake damage prediction, of 7 kinds of building in the urban areas of zhangzhou city under intensity 6 to 9 has been set up. the damage conditions of different buildings under different intensity are as followings : all kinds of structures are basically intact under intensity 6 ; the reinforced concrete structures are basically intact under intensity 7, but other kinds of structures are destroyed slightly ; the reinforced concrete structures are still basically intact while other kinds of structures are destroyed intermediately under intensity 8 ; the reinforced concrete structures are destroyed slightly, single - story factories and open houses are destroyed intermediately and other kinds of structures are destroyed seriously under intensity 9 ; ( 4 ) the results of earthquake damage predicting of buildings embody the damage when earthquake happens in the future. thus, further identifications and reinforcements should be considered to buildings that will be destroyed intermediately or more under the earthquake with 10 % exceeding probability in future 50 years ; ( 5 ) the direct economic losses caused by damage of buildings resting with the area, structural type, intensity and damage of all kinds of buildings are the main part of the losses of the city in an earthquake ; ( 6 ) the direct economic losses increased progressively toward high intensity by 2 or 3 times

    基於上述研究，得出的主要結論有：建築物震害預測是一個模糊的、系統的、復雜的問題，現有的方法很多一般都是以震害統計規律、專家經驗、理論分析和試驗研究為依據，有其自身的優缺點和一定的適用范圍；應針對不同的建築物條件、場地條件、地震強度和已有經驗等，採用不同的預測方法進行建築物震害預測，以使預測結果達到預期的精確性、可靠性和可操作性；建立了漳州市區7類建築物在6度9度地震作用下的震害矩陣，成為指導抗震防災的重要依據，各類結構的震害情況表現為： 6度地震作用下各類建築物基本完好； 7度地震作用下除鋼筋混凝土結構基本完好外其餘以建築輕微破壞為主； 8度地震作用下鋼筋混凝土結構仍以基本完好為主而其餘建築以中等破壞為主； 9度地震作用下鋼筋混凝土結構以輕微破壞為主，單層工業廠房和空曠房屋以中等破壞為主，其餘建築以嚴重破壞為主；建築物的震害預測結果體現了未來地震來臨時的震害程度，在編制漳州市區抗震防災規劃時，對于遭遇50年超越概率10的地震影響發生中等以上破壞的建築物應考慮進行抗震鑒定和加固；由建築物的破壞所造成的直接經濟損失是城市地震經濟損失的主要部分，重慶大學碩士學位論文中文摘要其主要與建築物總面積、結構類型、地震烈度和各類建築物的震害程度有關;不同烈度造成的直接經濟損失按2一3倍向高烈度方向遞增，漳州市區直接經濟損失由6度至9度的比例關系為1 : 2 . 8 : 8 . 6 : 22 . 8 ;遭遇基本地震設防烈度（ 7度）時，漳州市區直接經濟損失約4 . 5億元，無家可歸人員約40000人，且以磚木結構和多層磚混結構的震害損失最大;地震造成的人員傷亡主要與建築物倒塌及嚴重破壞的程度和總面積以及震時的建築物室內人數密切相關，地震時無家可歸人員主要與住宅倒塌、嚴重破壞及中等破壞的程度和總面積以及城市人均居住面積密切相關。
  6. 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。
  7. 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 。
  8. The paper contains two segments : static and dynamic detection, evaluation and alteration. static monitoring contains apparent and load detection. the model of multi - layer fuzzy evaluation and the bridge using capability grade membership function are used in the appraisal of the bridge technical condition of the highroad criterion technic and maintenance, and then the data and excel of the bridge compontents. the bridge grade membership function can be deduced from the factor theory domain. grade theory domain and the bridge using capacity grade membership function, then by baseding the connection of weigh and factor judgement matrix and judging gradually, finally the bridge comprehensive evaluation synthetical judging grade will be figured out

    在表觀檢測中將多層次模糊評價模型和橋梁使用性能等級隸屬函數引入《公路技術養護規范》中的橋梁技術狀況等級評定中，並對此規范中的橋梁部件缺損狀況評定狀況進行修正；通過建立因素論域、等級論域以及根據王光遠教授提出的利用典型函數形式來建立橋梁使用性能等級隸屬函數，通過權重和因素評判矩陣的關系來運算，逐級評判，最終求出橋梁綜合評判等級。
  9. An explicit expression to compute the h norm of the discrete - time symmetric system is established using the bounded real lemma. one explicit solution of stabilizing output feedback gains is obtained for the output feedback stabilization problem. ah explicit expression for h norm and the sub - optimal output feedback controllers have been obtained for the h control problem

    證明邊界實引理在離散對稱系統時有單位矩陣解，利用這一性質給出一個計算h ~范數的格11浙江大學博士學位論文式，並給出對稱輸出反饋可穩定問題的一個明顯解和h 」控制次優輸出反饋控制器。
  10. The norm - bounded parametric uncertainties entered into system matrices, input matrices and interconnections in all of the t - s fuzzy subsystems. dpdc controllers are designed for the uncertain interconnected fuzzy large - scale systems and lmi - based decentralized robust stabilizable conditions for uncertain interconnected fuzzy large - scale systems are developed

    所考慮的參數不確定性以范數有界的形式出現在各個子模糊系統的系統矩陣、輸入矩陣及輸出矩陣中，本論文討論了該類不確定性關聯大系統dpdc控制器的設計問題。
  11. And the average illumination intensity can be figured out through statistic method. here, some kinds of traditional led ' s optical encapsulated structure were simulated using monte carlo method. and experiments were performed using the correspondent led ' s optical encapsulated structure with the same conditions just like what were used in simulation

    採用二次曲面系數矩陣a統一描述任意二次曲面，給定系數矩陣a1 ， a2 … ， an ， （ n為小於10的正整數） ，和描述曲面范圍的條件，就描述了一個完整的led光學結構模型供模擬。
  12. The other are a hybrid preconditioning strategy, in which a simple pivoting preconditioner is used in combination with the standard inverse - midpoint method and a new scheme for selecting the real point in formulating interval newton equation

    使用混合預處理和優化實數向量：所謂混合預處理，就是聯合了標準中點逆矩陣預處理和中樞預處理。優化實數向量就是選擇合適的實數向量來縮小線性區間等式的解向量n （ x ）所包括的范圍。
  13. As for the numericial mthods we present a method using newton iteration and lp ( lift - projection ) iteration to slove inverse real symmetric eigenvalue problems. then wo can choose any starting points, then wo can get good starting value for the purpose of the preconditioning the numerical examples show the method is efficient and available

    對于數值演算法，將lp迭代和一般的newton迭代法結合起來求解含參變量的實對稱矩陣特徵值反問題， lp迭代預處理了newton迭代法的初始值，拓寬了newton迭代法初始值的選取范圍，數值例子也說明lp ? newton法具有較高的效率和實用性。
  14. 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。
  15. Based on lyapunov stability theorem and lmis approach, a control profile, including both static state feedback control and dynamic output feedback control, is presented for norm - bounded uncertain discrete - time linear systems with actuator sector nonlinearity ; 2

    以線性矩陣不等式方法為帶有扇形飽和非線性執行器的范數有界時變不確定離散線性系統設計線性狀態反饋控制器和線性動態輸出反饋控制器； 2
  16. The idea of complex formal derivatives is generalized from scalar to vector and ma - trix at first, then the manipulation rules of complex formal derivatives are derived systema - tically. as a mathematical tool, it is useful in the study of certain theory and numerical meth - od in electrical engineering problems

    網友解答：將原來僅限於標量的復形式導數，推廣到復向量和復矩陣的范圍，並系統地導出了復向量和復矩陣形式導數的運演算法則；為電機工程的某些理論和計算方法的研究，提供了一個有力的數學工具。
  17. Solving linear equations arise in a surprising number in the computing problems of engineering, but sometimes they are unsolvable. in this paper fast algorithms are presented which compute the minimal norm least square solutions for linear equations with special rectangular matrices coefficients, such as vandermonde matrices, toeplitz matrices, loewner matrices etc. and then, this paper presents an algorithm of computing the left inverse or right inverse for these special rectangle matrices

    工程中的計算問題大部分都可轉化成求解線性方程組的問題，而這些線性方程組有的時候是不相容的，本文研究以一些特殊的長方矩陣為系數陣的不相容方程組? ? vandermonde方程組， toeplitz方程組， loewner方程組等的極小范數最小二乘解的快速演算法，以及求這些特殊矩陣的左逆及右逆的快速演算法。
  18. With the spectral theory of matrices, three sufficient algebraic criteria have been developed for the above multiple - delay linear difference systems. the key of the criteria is to verify that the sum of the spectrum or norm of system matrices is less than 1

    藉助矩陣的譜理論，獲得了上述多時滯線性差分系統的充分代數準則，其核心是判定系統矩陣的譜或范數之和小於1 。
  19. It will present a new method - frequency - domain regression ( fdr ) method based on system identification theory for calculating transient heat flux through multi - layer walls. first, the frequency characteristics of the total transmission matrix are calculated within the frequency range concerned. then, a simple polynomial 5 - transfer function is yielded from the theoretical frequency characteristics for internal, cross and external heat conduction by applying appropriate identification algorithm, respectively

    首先在所關心的頻域范圍內計算出總的傳遞矩陣的頻率響應，然後採用適應的辨識演算法從墻體不穩定傳熱的理論頻率響應中構造出一個簡單的多項式s -傳遞函數，該多項式s -傳遞函數與墻體瞬時傳熱的理論的超越s -傳遞函數完全等價。
  20. 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。
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