asymptotically stable solution 中文意思是什麼

asymptotically stable solution 解釋
漸近穩定解
  • asymptotically : 漸近地
  • stable : adj 1 穩定的；安定的；固定的。2 意志堅定的，有恆心的。adv bly ness n n 1 廄，馬廄，馬棚；〈罕用語...
  • solution : n. 1. 溶解；溶液，溶體，溶劑。2. （補輪胎用的）橡膠水；〈美國〉藥水。3. 解決，解答 （of; for; to）; 解釋；（數學等的）解法，解式。4. 免除，解除。5. 【醫學】消散，消退。
  1. 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。
  2. 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。
  3. 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。
  4. 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
  5. 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。
  6. Asymptotically stable solution

    漸近穩定解
  7. At first, the robust h control for uncertain nonlinear systems with norm bounded uncertainties is studied, based on a positive definite solution of hamilton - jacobi - issacs inequality ( hji ), a sufficient condition is given such that the closed loop system is asymptotically stable and its l2 - gain is less than or equal to a prescribed value. using this condition state feedback control law and an output feedback control law which ensured robust hx performance of the closed - loop system are derived. due to the difficulty to solve hji, a method is proposed which do not require solving it by using an appropriate lyapunov function

    首先，研究了范數有界型不確定非線性系統魯棒h _控制問題，基於hamilton - jacobi - issacs不等式（ hji ） ，給出了閉環系統漸近穩定且l _ 2 -增益有限的狀態反饋和輸出反饋設計演算法。考慮求解hji的困難性，針對不確定非線性系統，通過適當地選擇lyapunov函數，提出了求解非線性系統魯棒h _控制問題的演算法，可以避免求解hji 。
  8. The existence of uniformly asymptotically stable almost periodic solution of nonlinear differential equation with coefficient perturbation

    具系數擾動的非線性微分方程的一致漸進穩定的概周期解
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