漸近一致性 的英文怎麼說

中文拼音 [jiānjìnyīzhìxìng]
漸近一致性 英文
asymptotic consistency
  • 漸 : 漸副詞（逐步; 漸漸） gradually; by degrees
  • 近 : Ⅰ形容詞1 （空間或時間距離短） near; close 2 （接近） approaching; approximately; close to 3 （親...
  • 致 : Ⅰ動詞1 （給與;向對方表示禮節、情意等） deliver; send; extend 2 （集中於某個方面） devote （one s ...
  • 性 : Ⅰ名詞1 （性格） nature; character; disposition 2 （性能; 性質） property; quality 3 （性別） sex ...
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  1. By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved

    通過引進適當的伸長變量，構造邊界層函數，得到了解的n階近似值，並利用微分不等式理論證明了解的漸近展開式的一致有效性。
  2. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  3. Our results imply that mutual interference in a species may result in coexistence of the two competing species and demonstrate that those time delays do not influence the competitive outcome of the organisms. ii ) the asymptotic behaviour of the chemostat model with mutual interference or without mutual interference is studied. for the two models with delay, the uniform persistence of the models are both proved under the conditions of the existence of the positive equilibrium

    二、研究了無種內競爭和有種內競爭的具有階段結構的時滯恆化器模型的漸近性態，對于兩類模型，都在正平衡點存在性的條件下證明了該系統的一致持續生存，對于兩類相應的常微系統的模型，均在正平衡點存在性的條件下證明了該正平衡點的全局穩定性。
  4. For these reasons, we can apply the theory of the model reference self - adaptive control syetem design based on the theorem of balance point stabilization in the force system of asymmetric cylinder controlled by symmetric valve. the main idea of model reference self - adaptive controller is to make the self - adaptive control error incline to zero as time passed. the task to design adaptive controller is to find the control input that can make the output of the controlled system to follow that of the reference model

    因此將基於平衡點穩定定理的模型參考自適應控制系統設計理論應用於閥控非對稱缸力系統中，其基本原理是使自適應控制誤差隨時間的推移而趨向于零，自適應控制器設計的目的是尋找使被控系統的輸出漸近一致的跟隨參考模型的輸出的控制輸入，以此來改善被控系統的性能。
  5. Based upon the analysis of the data obtained during the survey, it can be concluded that : 1 ) the number of biomass of macrobenthos in the yellow sea and the east china sea in autuma is higher than that in spring, while the number of density of macrobenthos in autumn is lower than that in spring ; 2 ) the number of biomass of macrobenthos in the yellow sea is higher than that in the east china sea ; 3 ) the number of species in the yellow sea is lower than that in the east china sea ; 4 ) one of the characteristics of distribution of macrobenthos in the east china sea is that the species richness increased from the coastal waters to the offshore deep waters, from the north to the south. 5 ) the species composition in the deeper part occupied by the cold water mass of the yellow sea is more stable than that in the coastal part of the yellow sea in the late 40 ~ 50 years

    通過以上幾方面的分析，結果表明： 1 ）黃東海調查海域的秋季總生物量均高於春季，總棲息密度則低於早春季； 2 ）黃東海春季生物多樣性指數高於秋季； 3 ）南黃海、東海的水文特點顯著不同：東海底溫顯著高於南黃海底溫，東海底鹽亦高於南黃海底鹽； 4 ）南黃海春秋季生物量分佈無一致規律，東海春秋季生物量除長江口外基本上自近岸向外海逐步降低； 5 ）東海大陸架大型底棲動物的種類組成較南黃海更豐富； 6 ）東海大型底棲動物的分佈特點之一為：種類數由北向南、由近岸（西部）向外海（東部）逐漸增多； 7 ）在黃海冷水團控制的海域，其底棲動物種類組成較近岸海域穩定； 8 ）幾個生物多樣性指數各有側重，都能較好地反映底棲動物的分佈特點
  6. Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups

    近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
  7. By using bruck ' s lemma [ 10 ], passty [ 31 ] extended the results of [ 1, 16 ] to uniformly convex banach space with a frechet differentiable norm. however, there existed more or less limitations in their methods adopted. by using new techniques, chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property

    Feattieranddotson 16 ]和bose [ l ]通過使用opial引理17 }在具弱連續對偶映照的一致凸b ~ h空間中證明了漸近非擴張映照的弱收斂定理， passty 31通過使用bruck引理10 ]把1 ， 16 ]的結果推廣到具freehet可微范數的一致凸banach空間，然而，他們的證明存在著種種局限性。
  8. A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. the uniform valid of the constructed asymptotic expansion is proved

    摘要研究了一類具有邊界攝動的非線性奇攝動橢圓型問題。並證明了邊值問題解的漸近展開的一致有效性。
  9. Each chapter of the paper reads as follows. firstly, the uniform persistence of the system is proved ; secondly, by using the independent subsystem method, the more brief sufficient conditions for the existence and global attractivity of the periodic solution and a mathematical example is obtained to show its practicality. finally, the conditions of the existence of the positive almost periodic solution which is uniformly asymptotically stable are derived by the razumikhin function method and a mathematical example is obtained

    在本文中，首先對于這兩類模型，分別考慮各種群的一致持久性；通過對獨立子系統的討論得到了，當系統是周期系統時，周期正解的存在唯一和全局吸引性，當系統是概周期系統時，正概周期解的存在性和一致漸近穩定的條件，並對上述兩種情況分別給出了說明其可行性的數學例子。
  10. In ship steering controller design, the nonlinear ship model should be written in siso strict feedback form. we start the recursive design with the system first state variable and continue with the second one. by introducing a change of coordinates, we choose lyapunov functions to stabilize the system and obtain the control law

    在船舶航向控制方面，考慮船舶的穩態回轉非線性，應用backstepping方法設計：首先把系統化成單入單出的嚴格反饋控制形式（呈下三角結構） ，假設系統后一個狀態變量是前一個狀態變量的虛擬控制，通過適當的變量代換，在每一步構造李亞普諾夫函數，使前一子系統在虛擬控制下漸近穩定，逐步遞推出控制器控制規律，使整個系統在平衡點滿足一致漸近穩定性。
  11. 2 ) the concept of space frequency distribution is introduced into reevaluation of incoherently distributed source model. based on the model, two low - complexity robust bearing estimators are developed. it is proved theoretically that their estimates are asymptotically unbiased and consistent

    2 ）從空間頻率分佈的角度重新評價了非相干分佈源模型，提出了兩種低計算復雜度的穩健的分佈源波達方向估計器，並從理論上證明了它們的漸近無偏性和漸近一致性。
  12. This paper studies the corner layer behavior in quasi linear systems with turning points. under the appropriate conditions and by usin g the theory of differential inequality, the existence of the solution and its c omponentwise uniformly valid asymptotic estimation are obtained when the reduced solution does not have a continuous first - derivative in some point of ( 0, 1 )

    奇攝動轉向點問題是來自量子力學及其他物理力學中的重要問題，特別對非線性系統的轉向點問題，已有的結果甚少，文章研究一類具有轉向點的擬線性系統的角層現象，在適當的假設條件下，利用微分不等式方法證明了當其退化解在（ 0 ， 1 ）內某些點上一階導數不連續時解的存在性，並得到了解的按分量的一致有效的漸近估計。
  13. Under appropriate assumptions, the existence of solution is proved by means of the theory of differential inequalities and the uniformly valid asymptotic expansion for arbitrary nthorder is obtained

    在適當的條件下，利用微分不等式理論證明?解的存在性，得到?解的任意階近似的一致有效漸近展開式。
  14. A new robust adaptive scheme which are used for tracking of this robot with parametric and bounded external uncertainties is proposed in this thesis. the controller is consist of a controller which is proposed by slotine1 ' 1 and nonlinear continued feedback compensation part. by estimating the unknown physical parameters of robot on - line, it can eliminate the effects result by parameters and external disturbances and guarantee gas and uniform boundedness of parametric estimation. the only information required in setting up the strategy is the output states of jionts, while the inversion of the inertia matrix or estimation the bound of the inertia matrix and measure the jionts accelerations are not needed. it is shown by simulations that the proposed control scheme has quicker convergence velocity and better control precision than paper [ 1 ] and control schemes at present

    針對該模型具有參數及有界外部擾動不確定性時提出了一種新的魯棒自適應控制策略，控制器由基於slotine的控制器和非線性連續反饋補償控制器構成。通過在線估計機器人的未知物理參數，有效的消除了由參數及外部擾動所引起的不確定性影響，保證系統達到漸近穩定和參數估計一致有界。與現存的許多控制方法相比，該控制策略不需求解慣性矩陣的逆或估計慣性矩陣的界，不需測量關節加速度，而唯一需要了解的只是系統輸出的位置及速度狀態。
  15. The tree of this paper is as follows : in chapter 2, we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays. then, we deal with the existence, the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations

    本文內容具體安排如下：第二章，我們首先研究一類具有限變時滯的線性及非線性差分微分方程系統的零解的一致漸近穩定性，然後討論在周期擾動和概周期擾動下，相應系統的周期解和概周期解的存在唯一性及穩定性。
  16. In first chapter, we define the first stage estimators for 0 and g by using kernel weight function, least square and two stage estimation under the additivity of the model, and then the paper proves that is the consistency and the approximate normal distribution, and is the consistency and the uniform consistency

    第一章首先綜合核函數法，最小二乘法，基於模型的可加性，利用二階段估計的方法求出， g的第一階段估計量，然後證明了的強相合性與漸近正態性， g _ n ~ *的強相合性和一致強相合性。
  17. We organized the whole paper as follow : in section 1, we introduce the background of this article in brief and give out the improved model and do some prepare works ; in section 2, we will prove the system is uniformly persistant under some conditions ; in section 3, we will prove the system is globally asymptotically stable by using lyapuvov function ; in section 4, we will give sufficient conditions of the existence, uniquness and global asymptotical stability of positive almost periodic, solutin of the almost, periodic system

    全文安排如下：第一節簡要介紹了本文的研究背景，給出改進后的模型並進行了適當的準備工作；第二節證明了一定條件下系統的解是一致持久的；第三節通過構造lyapunov函數的方法證明了一定條件下系統的解是全局漸近穩定的；第四節給出了概周期系統的正概周期解的存在唯一性和全局漸近穩定性的充分條件。
  18. Many foreign mathematicians have respectively devoted to researching the hamiltonian systems, boundary value problem and the oscillation, the asymptotic behavior, the stability of the dynamic equation on time scales, such as erbe l, bonnet m, peterson a, agarwal r, d sl o, kaymakcalan b, lakshmikantham v etc. in general, the research methods they used are just as the following : firstly, we compare the method of differential equation and with the corresponding difference equation, then unite them, finally, extend the results to other time scales

    近十年來，時間模上的動力學方程的研究得到了較快的發展，國外不乏有許多數學大家erbel ， bohnerm ， petersona ， agarwalr ， d slo ， kaymakcalanb ， lakshmikanthamv等都分別致力於時間模上哈密爾頓系統，時間模上動力學方程的邊值問題以及時間模上動力學方程的穩定性、振動性、漸近性等方面的研究。總的來看大家所採用的研究方法大致都是把微分方程與差分方程研究方法進行比較、統一，然後再推廣到其它時間模上。
  19. Thus, we employ several lyapunov functions including partial components and avoid using p function to obtain some stability results of the trivial solution of system ( 1 ), such as stability, equi - asymptotic stability, uniformly asymptotic stability and so on. in these theorems, the conditions are less restrictive

    因此，本章運用多個部分lyapunov函數，避免使用p函數，在較少的限制條件下得到了系統（ 1 ）的零解的穩定性、等度漸近穩定性、一致漸近穩定性等定理，並且得到了一些推論
  20. In this paper, we consider several classes of common ecological models such as predator prey model and epidemic model, and obtain uniform persistence and stability of the solution or the periodic solution by constructing appropriate lyapunov functional and using eigenvalue analysis to model ' s linear similar system at the equilibrium

    本文所研究的問題涉及到生態系統中有關捕食-被捕食系統、流行病模型等幾個常見的生態模型的定性分析，所採用的研究方法是通過構造合適的lyapunov泛函以及對模型的線性近似系統在其平衡態處的特徵根分析，獲得模型解或正周期解的一致持久和穩定的漸近性質。
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