quadratic functional 中文意思是什麼

quadratic functional 解釋
二次泛函
  • quadratic : adj. 1. 【數學】二次的。2. 方形的。n. 1. 【數學】二次方程式；二次項。2. 〈pl. 作單數用〉【數學】二次方程式論。
  • functional : adj 1 官能的，機能的。2 在起作用的；職務上的。3 【數學】函數的。4 【建築】從使用的觀點設計[構成]...
  1. The subject is related and has applications to many different branches of pure and applied science such as operator theory, functional analysis, c " - algebras, banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum physics, etc. in recent years, the quadratic numerical range, one of the most important generalizations of the numerical range, was put forward in the course of people studying the spectral theory of the block operator matrix to the need of the development of some branches mentioned above

    對它們的研究涉及到了基礎數學及應用數學許多不同的分支，諸如運算元理論，泛函分析， c ~ * -代數， banach代數，矩陣范數，不等式，數值分析，擾動性理論，矩陣多項式，系統論，量子物理等等，並且在這些分支上面得到了廣泛的應用。近年來，為了上述某些數學分支發展的需要，人們在研究分塊運算元矩陣譜理論的過程中引入了數值域的一個重要推廣：二次數值域。
  2. The stability perturbation bounds of a single - input - single - output system with both parametric and dynamic uncertainties is studied. the parametric uncertainties of the systems are described by interval perturbation mode, and the dynamic uncertainties are characterized by an integral quadratic constraint. based on the concepts of the minkowski functional, the problem of stability perturbation bounds is discussed, and for different uncertainty structures of the systems, the infinite stability checking problem of the mixed uncertain system can be converted to finite vertex - checking results and the edge - checking results

    系統的正向通道為帶有參數不確定性的線性系統，其不確定性為區間攝動模式，反饋通道為由積分二次約束給出的輸入輸出不確定性加以描述。用minkowski泛函給出區間攝動模式下的攝動界的定義，並給出參數空間中混合攝動模式下系統攝動界的估計式。
  3. Abstract : in this paper, the nonlinear optimal control problem connected with the ordinary differential system is considered, two modifications to the standard gradient procedures are constructed. the presented methods are based on the qualitative approximations of the cost functional. for linear - quadratic problems, the modifications have the property of the nonlocal improvement in contrast to the standard gradient procedures. some results relating to the convergence of the new methods are proved

    文摘:討論非線性最優控制問題構造的標準梯度方法的兩種改進方法.文中的方法是以罰函數的有效近似為基礎，與標準梯度方法相比，該方法對于非線性二次問題具有非局部的特點，同時給出相關收斂結果
分享友人
分享到 Line

分享到臉書