漸近型穩定性 的英文怎麼說

中文拼音 [jiānjìnxíngwěndìngxìng]
漸近型穩定性 英文
asymptotic stability
  • 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...
  • 穩 : 形容詞1 （穩定; 穩當） steady; stable; firm 2 （穩重） steady; staid; sedate 3 （穩妥） sure; rel...
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 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...
  • 穩定性 : antiwhip
  • 穩定 : 1 （使穩定） stabilize; steady 2 （穩固安定） stable; steady 3 （物質的性能不易改變的作用） stabi...
  1. In chapter 3, two nonlinear modified gilpin - ayala models with distributive delay and continuous diffusion are studied. some simple sufficient conditions for globally asymptotically stable and asymptotically stable of the unique positive equilibrium point are established by constructing lyapunov functional

    在第二章中，我們研究的擴散行為是離散的，而在第三章中，我們研究兩類含連續擴散行為的非線性時滯gilpin - ayala模型（反應擴散方程） ，通過構造lyapunov泛函獲得其平衡態全局漸近穩定、漸近穩定的一些充分條件。
  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. In the paper, computational sophistication is applied to compute the basic solution matrix of a sort of two - dimensional periodic differential equation which contains two parameters. the matrix makes it realizable to study the stability of two - dimensional periodic differential equation, here, the following is proved in the paper : only if a ( t ), b ( t ), c ( t ), d ( t ) satisfy some quantity conditions, is exponentially asymptotically stable

    =本文應用計算技巧，計算出一類含雙參數的二維周期系統的基本解方陣，以這個基本解方陣為依據，研究二維周期系統的結構穩定性。所得結論是：只要之間滿足一定的數量關系，則該系統指數型漸近穩定。
  7. Global stability of a predator - prey model with indirect control and time delays

    一個具有變時滯和間接控制的捕食模型的全局漸近穩定性
  8. 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。
  9. The stability for difference equation is maily considered in chapter 3, where, in section 1, a new method, called " semicycle analysis method ", is introduced to investigate global asymptotic stability of rational difference equations, and which is different from the existing ways, originates from the authors " trying to solve a conjecture presented in " journal of difference equations and applications " with respect to the global asymptotic stability of a detailed rational difference equation, and which can be used to solve the global asymptotic stability of a kind of rational difference equations which are very difficult to be solved in the methods in the kno, n literature

    第三章我們主要研究了差分方程的穩定性。在第一節中介紹了一種新的方法，稱之謂「半環分析法」 ，研究有理型差分方程的全局漸近穩定性；這種方法有別于已知方法，產生於作者試圖解決國際期刊《 journalofdifferenceequationsandapplications 》上提的關於一個具體的有理型差分方程的全局漸近穩定性的猜想時；這種方法可以應用來解決一類有理型差分方程的全局漸近穩定性，且所考慮的問題很難用已有文獻中的方法解決。
  10. By constructing a test matrix in terms of the sampling period, the plant controlled and the model parameters, we give a sufficient condition to test the asymptotic stability for the system

    針對不存在丟包和存在丟包的情況，通過由采樣周期、被控對象與模型參數構造的穩定性判別矩陣給出了使網路控制系統漸近穩定的充分條件。
  11. Asymptotic stability for nonautonomous neutral differential equations

    非自治中立型泛函微分方程的漸近穩定性
  12. 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。
  13. Impact oscillator is an important model of nonsmooth dynamical system. in this article, we study the dynamics of elastic imapact oscillators. we will consider the asymptotically linear oscillator and study it in two parts : the existence of periodic bouncing solutions ; the lagrange stability of impact motion

    碰撞振子是非光滑動力系統中一類重要模型，本文討論彈性碰撞振子的動態行為，主要考慮漸近線性振子的碰撞解，文章分兩部分：周期碰撞解的存在性；碰撞運動的lagrange穩定性。
  14. Equi - asymptotical stability theorem in nfde

    運算元中立型泛函微分方程等度漸近穩定性
  15. 3. the stability problems of fmm ii model of 2 - d systems are investigated by using lmi, and some new criteria for asymptotical stability of the systems are given

    以線性矩陣不等式作為工具，研究了2 - dfmm模型的穩定性問題，以線性矩陣不等式的形式提出了該類系統漸近穩定的新判據。
  16. In chapter 4, a sirs epidemic model with stage - structure consisting immature and mature stage and time delay is studied. by using eigenvalue analysis we obtain that the asymptotic behavior of the model and the local asymptotic stability of its equilibrium

    第四章的研究對象是一類具有階段結構和時滯的sirs傳染病模型，通過對模型的線性近似系統在其平衡態處的特徵根分析，得到模型平衡點的局部漸近穩定性等漸近性質。
  17. 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。
  18. Asymptotic stability for neutral delay differential equations

    中立型時滯微分方程的漸近穩定性
  19. High - dimensional alternate type differential system with impulse is discussed. sufficient condition is obtained for stability of the system with constant coefficient

    摘要研究了一類多維交替型脈沖微分系統的穩定性，給出了系統的平凡解漸近穩定的充分條件。
  20. Asymptotic stability of linear neutral type differential equations

    中立型線性時滯微分方程的漸近穩定性
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