漸近穩定解 的英文怎麼說

中文拼音 [jiānjìnwěndìngjiě]
漸近穩定解 英文
asymptotically stable solution
  • 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...
  • 解 : 解動詞（解送） send under guard
  • 漸近 : [數學] [物理學] asymptotic; approximation漸近操作（法） evolutionary operation; 漸近點 asymptotic...
  • 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. Asymptotic stability of viscous shock profiles for one - dimensional viscous conservation laws with boundary effect

    一維粘性守恆律初邊值問題粘性激波解的漸近穩定性
  2. Under some natural weak assumptions that do not require the technological coefficients matrix is indecomposable, the fact that the dynamic input - output system is not asymptotically stable and the closed dynamic input - output model exists a balanced growth solution is proved

    利用矩陣特徵值理論和廣義系統理論，在相對弱的條件下（不需要直接消耗系數矩陣不可分解） ，證明了動態投入產出系統不是漸近穩定的。
  3. Global stability of zero solution of generalized li nard system

    系統零解的全局漸近穩定性
  4. This paper consists of three parts : we first consider the non - autonomous predator - prey system with both beddirigton - deangelis functional response and dispersion. by using comparison theorem of differential equation, we study the permanance of the system. after that, by constructing suitable lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system

    本文研究三方面的內容：第一部分考慮具有擴散和beddington ? deangelis功能反應的捕食-食餌系統，利用微分方程比較原理得到該系統一致持續生存的條件；通過構造適當的lyapunov函數得到了該系統存在全局漸近穩定概周期解的充分條件。
  5. 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。
  6. The optimal harvesting policies that maximized the sustainable yield for nonautonomous single - species harvesting models, which had a unique globally asymptotically stable periodic solution, were obtained by fan meng [ 15 ] and li hailong [ 16 ]

    文獻[ 15 ] [ 16 ]討論了非自治單種群捕獲模型，在周期解存在唯一及全局漸近穩定前提下，為獲得最大可持續捕獲量，而得到最優捕獲策略
  7. 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。
  8. 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。
  9. Firstly, the equilibrium solution is global asymptotic stability and exponential stability on l2 [ 0, l ] under neumann and dirichlet boundary control conditions, control inputs for choosing the boundary control is bounded in lx, the equilibrium solutions decay to zero and integrating the solution square in [ 0, 1 ], it decays to zero exponentially, by using nonlinear boundary control conditions and input feedback control method

    首先，採用非線性邊界條件輸入反饋控制方法，研究得到該類方程在neumann和dirichlet邊界控制條件下的平衡解在l _ 2 [ 0 ， 1 ]上是全局漸近穩定和指數穩定的、在所選邊界控制下控制輸入是l _有界的、平衡解隨時間衰減到零以及平衡解的平方在[ 0 ， 1 ]上的積分按指數方式衰減到零。
  10. The existence of positive periodic solution for a neutral delay lotka - volterra system

    系統的正周期解的存在性和全局漸近穩定性
  11. Asymptotically stable solution

    漸近穩定解
  12. 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。
  13. Especially, when the isocline of x is monotone decreasing in 0 < x < 1, the svstem has no limit cycle and is globally stable ; next, we construct a saddle bifurcation at the boundary equilibrium and a degenerated bogdanov - takens bifurcation at the interior equilibrium by choosing appropriate parameter values in the following two sections, where our work are based on the theory of central manifolds and normal torms. we prove that is a codimention 3 focus - type equilibrium. system ( 6. 1 ) will have two limit cycles at some appropriate bifurcation parameter values, and have homoclinic or double - homoclinic orbits at some other appropriate bifurcation parameter values ; at last, we study the qualitative properties of the system at infinite in the poincare sphere

    因為系統在（ 0 ， 0 ）點處沒有定義，這給研究其在（ 0 ， 0 ）附近的動力學性質帶來了困難，我們應用文獻[ 17 ]中關于研究非線性方程奇點的系列理論和方法，圓滿解決了這一問題，給出了第一象限內當t +或t -時，在全參數狀態下系統的軌線趨于（ 0 ， 0 ）點的所有可能情況，其相圖也得以描繪；並且，系統不存在極限環的幾個充分條件我們也予以列出，當x的等傾線在0 x 1范圍內遞減時，系統不存在極限環，全局漸近穩定；然後，我們以中心流形定理和正規型方法為主要工具，巧妙選擇參數，分別構造了一個余維2的鞍點分岔和一個余維3退化bogdanov - takens分岔，證明了平衡點是余維3的焦點型平衡點，存在參數， m ，的值使得系統（ 6 . 1 ）有兩個極限環，還存在參數， m ，的另外值使得系統（ 6 . 1 ）有同宿軌或雙同宿軌。
  14. In this paper, the stability of the trivial solution is studied for a class of third order nonlinear non - autonomous ordinary differential equations by means of differential matrix, and the sufficient conditions of the global asymptotic stability of the trivial solution are obtained for a class of third order nonlinear autonomous system

    摘要用微分矩法研究了一類三階非線性常微分方程零解的穩定性，並獲得了一類三階非線性駐定系統零解全局漸近穩定的充分條件。
  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. Recently, many interesting stability criteria for the equilibriums and / or periodic solutions of delayed neural networks have been derived via lyapunov - type function / functional approaches. this thesis mainly focuses on the local and global / exponential stability for several delayed neural networks

    尤其是時滯神經網路平衡點和周期解的穩定性（包括漸近穩定性、指數穩定性、絕對穩定性等）得到了深入的研究，也出現了一系列深刻的結果。
  17. Asymptotic property of a repairable system with two identical components

    一類兩個相同部件並聯的可修系統解的漸近穩定性
  18. The theory and method of the partial stability are applied to the state feedback stabilization of uncontrollable systems. therefore a new method for stabilization of uncontrollable systems is established

    摘要關于不能控系統的狀態反饋鎮定問題，經典的提法是假定其不能控子系統是漸近穩定動。由於變數代換的原因，該條件沒有明確的實際意義，不便於應用。本文利用部分變分穩定性理論建立新的解法。
  19. In the fourth part, we structure liapunov function to discuss the following three species predator - pery system. we obtain existence, uniqueness and global asymptotic stability of almost periodic solution

    在第四部分運用構造lyapunov函數的方法討論了如下三種群食餌系統的概周期解的存在唯一性和全局漸近穩定性。
  20. 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。
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