漸近穩定的 的英文怎麼說
中文拼音 [jiānjìnwěndìngde]
漸近穩定的
英文
asymptotically stable- 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...
- 的 : 4次方是 The fourth power of 2 is direction
- 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...
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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。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。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。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。The growth of the both species is of logistic naluf. the mature species - y preys on the mature - x. by using the lyapunov function we obtain the - conditions for globally asymptotic stablility of positive equilibria without harvesting. conditions for global asymptotic stablility of four positive equilibria with harvesting and the threhold of hai vi - sting mature population
但從目前已知的文獻來看,對于兩個種群同時具有年齡階段結構,且同時對兩個種群進行開發的結果較少,本文通過構逅lyapunov函數,得到了當捕獲率不為零時上述模型存在一個全局漸近穩定的正平衡點的充分條件,也就是說,在一定條件下,種群兄。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。The conditions for being stable at unique positive equilibrium point and for the existence of limit cycle of prey - predator system with sparse effect are analysed. the biological significance is discussed
摘要對一類具有稀疏效應的食餌?捕食系統,給出了唯一正平衡點全局漸近穩定的充分條件和存在唯一極限環的充要條件等一些定性性質的判別準則及其生態意義。Sufficient condition of global asymptotic stability for ship ' s straight - line tracking control system
船舶直線航跡控制系統全局漸近穩定的充分條件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。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。To one kind of difference system with variable coefficients, some sufficient conditions for global asymptotic stability of trivial solution are given
摘要給出了一類變系數差分系統的全局漸近穩定的一些充分條件。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。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。By the corollary to theorem 4. 3, the origin is asymptotically stable
根據定理4 3的推論,原點是漸近穩定的。By the analysis of the first part, the domain of catching efforts which keep the system enduring and having a unique positive equilibrium that was globally asymptotically stable had been given
通過前一部分的分析,已給出了使系統持續發展而且恰有唯一一個全局漸近穩定的正平衡點的捕獲努力量的范圍Chapter 2 different to the stability of the 1 chapter, we studied the stability of ? gain stability. we have known that though the system have lyapnov stability it may be not have ? gain stability. it is necessary to discuss the ? gain stability. chapter 3 we discuss the exponential stability of a new hopfield neural network : bam neural network
第三章,利用dini導數、不等式以及lyapunov函數方法等工具對當今研究的一類熱點神經網路, ( bam )雙向關聯的神經網路的指數漸近穩定性作了研究,得到了其指數漸近穩定的條件Sufficient conditions about globally asymptotical stability of the origin of second - order control system with saturated input
單飽和輸入下二階控制系統零解全局漸近穩定的充分條件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。For locally asymptotical stability and globally asymptotical stability of the disease - free equilibrium and the endemic equilibrium, sufficient conditions are obtained for this model
通過分析,得到了地方病平衡點存在的閾值,以及無病平衡點和地方病平衡點局部漸近穩定和全局漸近穩定的充分條件。A sufficient condition guaranteeing the global asymptotical stability of the equilibrium point is derived for a class of neural network models with variable delay and neutral type delay
摘要針對一類能夠由中立型變延遲非線性微分方程描述的神經網路模型,給出了全局漸近穩定的不依賴于時間延遲的充分條件。分享友人