exponentially stable 中文意思是什麼

exponentially stable 解釋
指數式穩定
  • exponentially : 按指數規律的
  • 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. 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。
  2. Russell ( [ 17 ] ) has showed that, a compact perturbation, generated from unitary operator groups in infinite - dimensional linear hilbert spaces, is unable to make the perturbed semigroup exponentially stable

    Russell （ [ 17 ] ）曾指出，無限維hilbert空間中的酉運算元群對生成的緊擾動不能使被擾動半群具有指數穩定性。
  3. Chapter 3 investigates the estimation of the domains of attraction of equilibrium points for hopfield neural networks with delays, where hopfield neural networks with discrete and distributed delays are considered. we derive a sufficient condition for an equilibrium point to be locally exponentially stable

    分別針對帶離散時間延遲和帶分散式時間延遲的hopfield神經網路，得出了平衡點局部指數穩定的充分條件，同時提出了一種指數穩定平衡點的吸引域的估計方法。
  4. For viscous shock waves c, by the spectral analysis we prove that in l2 ( r ) space the essential spectra and the eigenvalues ( except the simple zero eigenvalue ) of the linearized operator have negative real parts, thus we show that the viscous shock waves c is locally asymptotically exponentially stable in l2 ( r ) space

    對粘性沖擊波c利用類似方法，我們證得在l ~ 2 （ r ）空間線性化運算元的本質譜和除簡單特徵值零以外的特徵值均具有負實部。於是，我們得到粘性沖擊波c在l ~ 2 （ r ）空間的局部漸近指數穩定。
  5. The stochastic state feedback controller and the stochastic output feedback controller for networked control systems with long time delay are designed. the separation principle is proved to still hold in networked control systems with long time delay. without considering the noise of the system, this stochastic state feedback controller can render corresponding networked control systems exponentially mean square stable

    提出了將網路控制系統中的隨機時延轉化為確定性時延的實現條件和實現方法；設計了確定性網路控制系統的分步變換狀態反饋控制器和基於狀態預測的狀態反饋控制器；設計了確定性網路控制系統的輸出反饋控制器和具有時延補償功能的多步預測控制器；模擬結果表明了各種確定性控制演算法是正確的和有效的。
  6. In this paper, we have proved that an anti - bounded c _ ( 0 ) - group in infinite - dimensional reflexive banach spaces is not exponentially stable under generating compact perturbation, and that a c _ ( 0 ) - isometric semigroup in infinite - dimensional hilbert spaces has the same property. so, we have extended and improved russell theorem

    在本文中，我們分別證明了無限維自反banach空間中的反有界c _ 0 -群和無限維hilbert空間中的c _ 0 -等距半群在生成的緊擾動下一定不具指數穩定性，從而推廣和改進了russell定理。
  7. Then linear control technique is applied to the linear subsystem of the transformed equivalent systems to design the controller, thus a nonlinear controller of the original chaotic systems is obtained, which is proved to be exponentially stable

    然後利用線性控制方法對變換后的等價系統中的線性子系統進行了控制器設計，由此設計出原混沌系統的非線性控制器，並證明其具有指數穩定性。
  8. These conditions can be used both to design globally exponentially stable and periodical oscillatory neural networks with time - varying delays, and to enlarge the area of designing neural networks. our work has important significance in related theory and it ' s application

    這些條件可用於設計全局指數穩定的和周期振蕩的具可變時滯的神經網路，大大擴展了神經網路設計的范圍，這在理論上和應用中都有著重要意義。
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