razumikhin 中文意思是什麼

razumikhin 解釋
拉祖米欣
  1. In the proof, by the subsystem which makes the discussion more convenient, we get more brief sufficient conditions. we also use the comparison theorem, liapunov functional method and razumikhin function method

    在以上的證明中，考慮了系統的獨立子系統，使問題更加簡單，條件更加簡捷，並且使用了比較原理、 liapunov泛函方法、 razumikhin函數法。
  2. 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。
  3. For state systems and semistate ( singular ) system, respectively, the problems of robust stability and the design of robust controller have been investigated based on linear matrix inequality ( lmi ), according to lyapunov - razumikhin stability and convex optimization theory, and barbalat ' s lemma and nonsingular linear transformation of model reduction, respectively

    針對完全狀態系統，採用lyapunovrazumikhin穩定性理論以及凸優化等重要理論，以線性矩陣不等式作為研究的工具，研究了魯棒穩定性、魯棒控制器的設計問題；針對不完全狀態（奇異）系統，基於barbalat引理以及非奇異線性降階變換，研究了奇異系統的魯棒穩定性、魯棒控制器的設計問題。
  4. Then we obtain new razumikhin - type theorems on stability by the method of lyapunov functions including partial components

    然後運用部分lyapunov函數方法得到了系統（ 1 ）的零解的新的razu - mikhin型穩定性定理
  5. Different from the above two chapters, in chapter three, we employ the method of lyapunov function coupled with razumikhin technique to investigete the practical stability in terms of two measures of system ( 1 ), obtain some practical stability theorems, such as ( h0, h ) practical stablity, ( h0, h ) uniformly practical stability, ( h0, h ) uniformly practically asymptotical stability and so on

    不同於前兩章，在第三章中，我們運用lyapunov函數方法結合razumikhin技巧研究了脈沖泛函微分系統）的關于兩個測度的實際穩定性，得到了一些實際穩定性定理，如巾。入）實際穩定性、 （ h 。 ， h ）一致實際穩定性、幣。
  6. Therefore, in this chapter, firstly we establish some new razumikhin - type boundedness criteria of system ( 1 ) by employing several lyapunov functions including partial components, such as uniform boundedness, uniformly ultimate boundedness and so on

    因此，本章首先用多個部分lyapunov函數方法建立了系統o ）的一些新的砌umikhin型有界性判別準則，如一致有界性、一致最終有界性等
  7. In razumikhin - type theorem, all components are usually put into one lyapunov function, moreover, both lyapunov function and its dini derivative need satisfy certain conditions

    在ragu - mikhin型定理中，通常將所有變元置於同一個lyapunov函數中，並且lyapunov函數及其dini導數需要滿足一定的條件
  8. Applying razumikhin - type theorem, we usually need to choose appropriate p function, but it is not easy to find, which decreases the advantages of razumikhin - type theorem

    在應用razumikhin型定理時，通常需要選取適當的p函數，但選取p函數時有一定的困難，這就減弱了razumikhin型定理的優越性
  9. In the meantime, two different approaches, lyapunov functionals and functions ( combined with the razumikhin conditions ), are employed to investigate the global attractivity of the delayed model

    此外，我們還應用兩種方法研究了時滯相關穩定性，一種是lyapunov泛函法，另一種是lyapunov函數加上razumikhin條件的方法。
  10. During developing lyapunov ’ s second method, two main methods ? lyapunov - krasovskii functionals method and lyapunov - razumikhin functions method ? are used for the study of time - delay systems

    在發展lyapunov第二方法的過程中，逐漸形成了對時滯系統的兩種主要研究方法? ? lyapunov - krasovskii泛函法和lyapunov - razumikhin函數法。
  11. In this paper, we study stability and boundedness for impulsive functional differential systems as follows : it is effective tool for lyapunov functions coupled with razumikhin technique to investigate the stability for impulsive functional differential systems. it can guarantee the stability under less restrictive conditions

    在研究脈沖泛函微分系統的穩定性時， lyapunov函數方法並結合razumikhin技巧是一種行之有效的工具，在較少的限制下可以保證所需要的穩定性
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