無窮維系統 的英文怎麼說

中文拼音 [wúqióngwéixìtǒng]
無窮維系統 英文
infinite dimensional system
  • 無 : 無Ⅰ動詞（沒有） not have; there is not; be without Ⅱ名詞1 （沒有） nothing; nil 2 （姓氏） a surn...
  • 窮 : Ⅰ形容詞（貧窮） poor; poverty stricken Ⅱ名詞1 （窮盡） limit; end 2 （姓氏） a surname Ⅲ副詞1 （...
  • 維 : Ⅰ動詞1 （連接） tie up; hold together; link 2 （保持; 保全） maintain; safeguard; preserve; keep ...
  • 系 : 系動詞（打結; 扣） tie; fasten; do up; button up
  • 統 : Ⅰ名詞1 （事物間連續的關系） interconnected system 2 （衣服等的筒狀部分） any tube shaped part of ...
  • 無窮 : 1. （沒有窮盡; 沒有限度） infinite; endless; boundless; inexhaustible 2. [數學] infinite
  • 系統 : 1. （按一定關系組成的同類事物） system 2. （有條理的;有系統的） systematic
  1. Applying the results to optimal controller to realize the minimizer of the cost function of mkdv - burgers equation under neumann and dirichlet boundary control. secondly, using inertial manifold and approximate inertial manifold theory, the approximate inertial manifold under fourier bases is given and we construct a set of odes of three modes to obtain the long - time dynamic behavior

    其次，利用慣性流形和近似慣性流形理論，給出mkdv - burgers方程在fourier基下的近似慣性流形，並且把這一方程所確定的無窮維動力系統約化為一組三模態下的常微分方程組，從而研究這一方程所確定的動力系統的長期動力學行為。
  2. In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems

    本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。
  3. However, due to the elastic deflection and vibration of the links, the flexible manipulator becomes an infinite dimension mimo system with distributed parameters, and is highly nonlinear and strong coupling. therefore, the model and the control of flexible manipulator are of great significance both in theory and in application

    然而也正是由於連桿存在彈性變形和振動，使得柔性機械手成為一個高度非線性的、分佈參數的、強耦合的無窮維多輸入多輸出系統， ，因此其建模和控制也具有重要的理論意義和應用前景。
  4. And then, we specially study the effect of spin interaction ' s anisotropy on the critical temperature tc. from what we have observed we suggest that the critical temperatur tc grows as the anisotropy intensifies, while the system magnetization becomes weaker. the system becomes id if the anisotropy ratio r goes to infinity, and its equilibrium state keeps zero magnetization at any finite temperature, which confirm that there is no observable transition for id system

    其後，著重研究了自旋相互作用的各向異性程度r對其臨界溫度t _ c的影響，總結出：隨著系統各向異性程度的增強，系統的臨界溫度向高溫轉移，而系統的磁化強度在不斷的減弱；當r趨近於無窮大時，系統演變為一維系統，系統在任何有限溫度下達到的平衡態始終保持磁化強度為零，這也證實了一維系統不發生相變
  5. In addition, the paper will analyze the existence condition for nonwandering semigroup by the methods of topological dynamical system. from the mature results of finite dimensional space, such as the topological mixing, we discuss any other methods to solve the problems of infinite dimensional space, so as to provide the similar methods for the similar work

    另一方面，本文將結合微分動力系統和拓撲動力系統的研究方法，主要從微分動力系統的角度，從根本上分析非游蕩運算元半群存在的條件，並結合與此密切相關的有限維空間的一些成熟的理論，如拓撲動力系統中的拓撲混合性等，從不同角度試圖解決無窮維空間的結論。
  6. In this paper, we study the asymptotic theory of two typical dissipative infinity dynamic systems in mathematics and physics

    本文研究了數學物理中兩類典型的具有耗散性的無窮維動力系統的漸近性理論
  7. Theses systems, featuring with transcendental characteristic equations and infinite - dimensional solution spaces, may lose stability due to the time delays inherited in systems

    這兩類系統具有超越特徵方程和無窮維解空間，常見于工業工程和生物生態領域。
  8. Wavelet series - based identification of infinite - dimensional, linear and time - invariant systems

    用小波級數辨識無窮維線性時不變系統
  9. The aim of this study is to investigate theoretically the possibility for activation of small mammalian myelinated nerve fibers without activating larger ones when stimulating a nerve fiber bundle with a monopolar point electrode using biphasic pulses, which can reduce the electrochemical damage resulted from stimulation pulses to nerve fibers. a simulation system for studying the electrical properties of mammalian myelinated nerve fibers was built based on a simple infinite and homogeneous volume conductor model. by use of an asymmetric but charge - balanced stimulation waveform, the sensitivity of excitation and blocking threshold of nerve fibers to fiber diameter, electrode - fiber distance was calculated. the results show that selective activation of small mammalian myelinated fibers may be possible in a region at some distance from the electrode using biphasic pulses

    本研究的目的是要從理論上探討利用單電極雙向脈沖刺激實現哺乳動物神經纖維選擇性刺激， （即當刺激一束神經時，不興奮粗神經而興奮細神經）的可能性.雙向脈沖刺激可以降低刺激脈沖對神經纖維產生的電化學損傷.為研究哺乳動物有髓神經纖維的電特性，建立了一個基於簡單的無窮大、各向同性的容積導體模型的模擬系統.利用該模擬系統，採用「不對稱但電荷平衡」的雙向脈沖刺激，計算了神經纖維的興奮和阻斷閾值與纖維直徑、纖維-電極間距離的關系.結果表明：在距電極一定距離內採用該雙向脈沖刺激模式確實可以實現哺乳動物有髓神經纖維的選擇性興奮
  10. The first part is concerned with the stability and hopf bifurcation from an equilibrium for two classes of retarded differential difference systems, while the second part deals with the existence of positive periodic solutions of retarded functional differential equations with infinite delay

    本文分兩個部分，第一部分研究兩類三維特殊的滯后型微分差分系統平衡點的穩定性和hopf分支，第二部分討論無窮時滯泛函微分方程正周期解的存在性。
  11. The existence of an attractor is one of the most important characteristics for a dissipative system, the long - time dynamics is completely determined by the attractor of the system

    在這種耗散型的無窮維動力系統中，吸引子的存在性是最重要的特徵之一，系統的長時間性態完全被系統的吸引子所決定。
  12. In this paper, the second chapter introduces the reducing idea of inertial manifolds and approximate inertial manifolds, and discuss th e similarity reduction of ks equation. the third chapter introduces the basical idea and theory of the exact linearization controlling, then use this methods to control chaos of an ordinary differential system chen equation and apply the exact linearization controlling method to control the chaotic behaviours, i. e. controlling the chaotic states to steady states

    本文第二章介紹了無窮維動力系統的慣性流形與近似慣性流形的約化思想，並討論了ks方程的直接約化方法。第三章介紹了精確線性化控制方法的基本思想和理論根據，並應用精確線性化控制方法對具有典型混沌動力學行為和性質的一個常微分系統chen方程進行混沌控制，將chen方程的混沌狀態控制為穩定狀態。
  13. This paper consists of two chapters : chapter i is about digraph theory and chapter ii is about infinite - dimensional linear system theory

    本文分別在第一章與第二章討論有關有向圖與無窮維線性系統的具體問題。
  14. In this paper we deal with two aspects of applied mathematics, one is digraph theory and the other is infinite - dimensional linear system theory

    本文將研究兩個方面的內容：有向圖理論與無窮維線性系統。這兩個方面是應用數學中的兩個非常重要的研究領域。
  15. Wavelet series identification of linear infinite - dimensional systems

    無窮維線性系統的小波級數辨識
  16. The fourth chapter applies the exact linearization controlling method to control the approximate inertial manifolds of a partial differential system ks equation. this method can control the chaotic states into steady states and also can control the steady states into circle solutions. the chen equation and ks equation both have typical dynamical behavior and dynamical character

    第四章中應用精確線性化控制方法對無窮維動力系統ks方程的近似慣性流形進行混沌控制，可以將傳統近似慣性流形下的混沌狀態控制為穩定狀態，也可以將穩定近似慣性流形下的穩定狀態控制為周期解。
  17. In section 2. 1, we introduce some of the recent research results about the relationship between the internal stability and external stability. in section 2. 2, we state some necessary background, definitions and basic facts about infinite - dimensional linear systems. in section 2. 3, we are concerned with the admissibility of the control operator and the observation operator of system ( 1. 1 ) - ( 1. 4 )

    第一節我們介紹有關無窮維線性系統內部穩定性與外部穩定性關系的最新成果；第二節我們介紹無窮維線性系統的相關背景、概念，以及其他一些主要成果；在第三節，我們討論系統（ 1 . 1 ） - （ 1 . 4 ）的控制運算元與觀測運算元的相容性；在第四節和第五節我們分別討論系統（ 1 . 1 ） - （ 1 . 4 ）的外部穩定性與內部穩定性；第六節我們將證明開環系統（ 1 . 1 ） - （ 1 . 3 ）的精確可觀測性。
  18. This dissertation studies mainly the identification and the optimal control problem in parabolic pdes, including the existence of solutions of state equations and optimal solutions of the optimal control and the identification problems, optimality conditions, the relation between the state functions and the control functions ( identification parameters ), the algorithms of infinite - dimensional optimization problems deriving from the identification and the optimal control problem of distributed parameter system

    本文主要研究拋物型分佈參數系統辨識與最優控制問題，包括狀態方程解和辨識與最優控制問題最優解的存在性、最優性條件、狀態函數與控制函數（識別參數）之間的關系及求解基於辨識與最優控制問題而產生的無窮維最優化問題的演算法。
  19. Sufficient conditions for the global attractivity of boundary equilibrium are obtained via fluctuation lemma, and sufficient conditions for uniform persistence of this model are obtained via uniform persistence of infinite dimensional systems

    然後利用無窮維動力系統一致持續生存的理論給出了該系統一致持續生存和絕滅的充分條件。
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