漸近界 的英文怎麼說
中文拼音 [jiānjìnjiè]
漸近界
英文
asymptotic bound-
Unique existence and blowup characteristics of global solution for initial boundary value of a class of nonlinear wave equation of fourth order
一類具有非線性邊界阻尼和源項的非線性波動方程的解的漸近性By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved
通過引進適當的伸長變量,構造邊界層函數,得到了解的n階近似值,並利用微分不等式理論證明了解的漸近展開式的一致有效性。Moreover, under those conditions, the global stability of the positive equilibrium is proved for the two models without delays. iii ) the asymptotic behaviour of the chemostat model with predator - prey populations and delays is studied
三、研究了單營養食物鏈的恆化器模型的漸近性態,利用波動引理給出了邊界平衡點全局吸引性的充分條件。Recently, when a. dmitrienko ( 2000 ) [ 5 ] constructed the sequential confidence regions for maximum likelihood estimates, they put forward a new asymptotic property : bounded cost of ignorance, that is lim ( en ( d ) - n ( d ) ) <. it ' s an asymptotic property which is worthy of consideration
最近, a . dmitrienko ( 2000 )在構造極大似然估計的序貫置信區域時,提出了一個新的漸近性質:未知代價的有界性( boundedcostofignorance ) ,即這是一個很值得考慮的漸近性質。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 boundary value problems of singular perturbation with boundary layer at turning points are discussed. the asmptotic expansion are constructed. and the uniformly valid asmptolic estimation is obtained
主要討論了在轉點處出現邊界層現象的奇異攝動邊值問題,構造了形式級數解,得到了一致有效的漸近估計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。The global asymptotical tracking of given trajectories is achieved and the boundedness of all signals of the resulted closed - loop system is also guaranteed
兩種設計方案都實現了對給定目標軌線的全局漸近跟蹤,保證了閉環系統所有信號全局一致有界。Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來, bruck [ 5 ] , reich [ 6 ] , oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理,這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中,研究了揚州大學碩士學位論文2一般半群上的( r )類漸近非擴張型半群的弱遍歷收斂定理,即:定理3 . 1設x是具性質( f )的實自反banach空間, c是x的非空有界閉凸子集, g為含單位元的一般半群, s =仕工, 。A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. the uniform valid of the constructed asymptotic expansion is proved
摘要研究了一類具有邊界攝動的非線性奇攝動橢圓型問題。並證明了邊值問題解的漸近展開的一致有效性。With limited disturbances considered, sliding mode control is used to design the controller, which ensures the sliding mode to be exponentially converged and the sliding manifold to be reached in limited time from any initial states. and an adaptive law is designed for the unknown inertia matrix
使用魯棒性較強的滑模控制方法設計了控制律:滑動模態是指數收斂的;在有界干擾力矩存在時,任意初始狀態都可以在有限的時間內收斂到滑動平面;對于轉動慣量未知的情形,設計了自適應律,趨近模態是漸近收斂的。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。Firstly, the voronovskaja type formula of asymptotic expansion of this kind of operators is given. then the approximation of the bounded variation functions by the kinds of operators is discussed
第一節給出該運算元的voronovskaja型漸近展開公式;第二節討論該運算元對有界變差函數的逼近。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。Through discussing every term ' s coefficient of a ; ( a ), the general two points " linear algebra boundary conditions are turned into eight element typies, eight corresponding entire functions u ( ) deciding eigenvalue and their asymptotic estimations on the corresponding circuits are gotten
根據( )各項系數的不同情況,將一般兩點邊界條件分為八種基本類型,並得到相應的八個決定特徵值的整函數( )和它們在相應圍道上的漸近估計。In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞運動的lagrange穩定性的討論中,給出了漸近線性方程碰撞解有界或無界的條件,在充分大的圓盤外,通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代,應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明,碰撞解無界性的證明將採用直接估計后繼映射的方法給出。In chapter 3 we construct two approximation algorithms which applying bin packing algorithms for scheduling problems, one is ff ( first fit ) algorithm used in parallel machine scheduling problem pm / / dj = d / n which has a lower bound of asymptotic worst - case performance ratio, another problem is scheduling independent parallel tasks in parallel identical machine systems to minimize the makespan, we use strip packing method for it and give an approximation algorithm with asymptotic performance ratio no more than 1. 6
第一個演算法利用裝箱問題中的ff ( firstfit )演算法求解極大化按期完工工件數的平行機排序問題pm d _ j = d n - u _ j ,該近似演算法具有漸近性能比下界。第二個近似演算法利用二維裝箱中strippacking問題的演算法求解以極小化makespan為目標的帶并行工件的平行機排序問題,該演算法的漸近性能比具有下界1 . 5和上界1 . 6 。Asymptotic behavior of super brownian motion
臨界超布朗運動的漸近行為In chapter 4, we discuss the asymptotic behavior of the weak solution for the initial boundary value problem of the following love equation where fi is a bounded region in rn with smooth boundary
在第四章中,我們借用位勢井的思想討論非線性發展方程的初邊值問題整體弱解的漸近性,其中( ? ) r ~ n並具有充分光滑邊界, 0A system of retarted functional differential equations as a predator - prey model with stage structure and dispersion is discussed. conditions for global stability of the system are given
摘要討論了一類帶有擴散和具有階段結構與時滯的兩種群捕食系統,分析了該系統的非負不變性、邊界平衡點性質及全局漸近穩定性。分享友人