asymptotically stable 中文意思是什麼

asymptotically stable 解釋
漸進穩定
  • 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...
  1. By the corollary to theorem 4. 3, the origin is asymptotically stable.

    根據定理43的推論,原點是漸近穩定的。
  2. 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。
  3. 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。
  4. For all admissible uncertainties and possible controller gain variations, the desgined controller can guaranteed that the closed - loop system is asymptotically stable and the upper bound of cost function value is not more than a constant

    所設計的控制器對于所允許的不確定性和控制器增益的可能變化,能保證閉環系是統漸近穩定的且性能指標上界不超過某個常數。
  5. 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。
  6. Abstract : the gpc or crhpc strategy with input constraints will be possible to lead to infeasibility of the control algorithm and the performance of the control system will get degradation or instable. in order to overcome this problem, a control algorithm with guaranteed feasibility is proposed in this paper. it is shown that the algorithm makes the plant asymptotically stable and drives condition setpoint close to the actual setpoint of the plant

    文摘:在系統輸入受限的情況下,採用一般的廣義預測控制或受限時域預測控制有可能會造成控制演算法不可行,從而使系統的性能變壞或不穩定.針對這個問題,本文提出一種保證可行性的控制演算法,並證明該演算法能夠使系統漸近穩定且最終使條件設定值跟蹤系統的實際設定值
  7. 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。
  8. We prove theoretically that under certain reasonable assumptions the formation is asymptotically stable even wills bounded disturbances ; that is, the proposed sliding mode controller can asymptotically stabilize the errors in relative distance, relative bearing and heading direction, respectively

    在合理的假設下,從理論上證明了存在有界干擾情形下機器人編隊的漸近穩定性,即所設計的滑模控制器使得相對距離誤差、方位角誤差及運動方向誤差漸近穩定。
  9. 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
  10. Asymptotically stable in the large

    大域漸近安定
  11. 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。
  12. With regard to the flow regulation of the best - effort traffic, the controllable traffic in high speed computer communication networks, the present paper proposes a novel control theoretic approach that designs a proportional - integrative ( pi ) controller based on multi - rate sampling for congestion controlling. based on the traffic model of a single node and on system stability criterion, it is shown that this pi controller can regulate the source rate on the basis of the knowledge of buffer occupancy of the destination node in such a manner that the congestion - controlled network is asymptotically stable without oscillation in terms of the buffer occupancy of the destionation node ; and the steady value of queue length is consistent with the specified threshold value

    本文從控制理論的角度出發,針對計算機高速網際網路中最大服務交通流即能控交通流的調節問題提出了一種基於多速率采樣的具有比例積分( pi )控制器結構的擁塞控制理論和方法,在單個節點的交通流的模型基礎上,運用控制理論中的系統穩定性分析方法,討論如何利用信終端節點緩沖佔有量的比例加積分的反饋形式來調節信源節點的能控交通流的輸入速率,從而使被控網路節點的緩沖佔有量趨于穩定;同時使被控網路節點的穩定隊列長度逼近指定的門限值。
  13. When ( c, a, b ) is a minimum phase system with relative degree r > 1, we present a new method of constructing a dynamic compensator such that the closed loop system is asymptotically stable

    當系統的確定性部分為最小相位系統時,提出了一種構造動態補償器的新方法。
  14. Asymptotically stable solution

    漸近穩定解
  15. The design problem of robust output feedback model predictive controllers is considered which guarantees that the closed - loop system is asymptotically stable and an on - line receding horizon guaranteed cost is minimized for a class of uncertain discrete time - delay systems with i / o constrains

    摘要對一類輸入輸出受限的不確定離散時滯系統,研究了使得閉環系統漸近穩定且滾動時域性能指標在線最小化的魯棒預測輸出反饋控制器設計問題。
  16. We extend this result which is similar to ones of hirsch [ 1l ] and jiang [ 2 ] for 3 - dimensional cooperative system. furthermore, in the paper we discusse the cone of km, and obtain the similar result : theorem b : let f be a continuously differentiable cooperative vector field on d, suppose the following conditions hold : ( a ) d is pm - convex ; ( b ) every forward semi - orbit has compact closure in d ; ( c ) there is not more than one equilibrium p, then there is a unique equilibrium p and it is globally asymptotically stable

    此外,本文還將在k _ m錐下討論此問題,並得到平行的結果:定理b :設f是d上一個連續可微的合作向量場,假設如下條件成立: ( a ) d是p _ m凸的; ( b ) d中的每一個正半軌道有緊閉包; ( c )至多有一個平衡點p ,則一定存在唯一的平衡點p ,並且是全局漸近穩定的。
  17. The dynamic matrix control algorithms based on finite impulse response are studied. the model errors are defined in the form of upper and lower bound and the error square sum of impulse response coefficients of single - input / single - output systems. the robust stability conditions are proposed for closed - loop systems using dmc in the form of lmi, which can assure the closed - loop system using dmc algorithm to be asymptotically stable, when the coefficients of characteristic polynomial do n ' t satisfy jury ' s dominant coefficient lemma

    浙江大學博士學位論文4 .研究了基於脈沖響應模型的動態矩陣預測控制田mc )演算法,針對單輸入、單輸出系統可能出現的預測模型誤差,分別以脈沖響應系數上下界和脈沖響應系數誤差平方和的形式對預測模型的模型誤差進行定義,根據該定義以線性矩陣不等式的形式分別提出了閉環系統魯棒穩定判據,當閉環多項式系數不能滿足j切嘆主系數定理的情況下仍能保證系統閉環穩定。
  18. 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。
  19. 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 。
  20. Some conditions are obtained by using the semigroup theory, the properties of nonnegative matrices and the techniques of inequalities to determine the asymptotically stable region of the equilibrium

    通過半群理論、非負矩陣性質和不等式技巧,得到估計這類方程平衡態漸近穩定域的方法。
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