hamilton function 中文意思是什麼

hamilton function 解釋
哈密頓函數
  • hamilton : n. 漢密爾頓〈姓氏，男子名〉。n. 漢密爾頓〈加拿大港市，百慕達群島首府〉。
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. Hamilton ' s characteristic function

    哈密頓特性函數
  2. In chapter two, the general model of the optimum investment, consumption and periodical insurance payable at death for life is discussed and its corresponding optimum control question is solved. the optimum strategy can be got through the corresponding hib ( hamilton - jacobi - bellman ) equation. as to the crra ( constant relative risk aversion ), a sort of utility function, indicatively, the optimum investment process, consumption process and the periodical insurance payable at death for life purchasing process can be gained with the feedback form

    第二章討論最優消費、投資、定期人壽死亡保險的一般模型，解決了對應的最優控制問題，最優策略可通過求解hjb （ hamilton一jaeobi一bellman ）方程得到，當效用函數為crra （常數相對風險厭惡）類型時，顯式地得到具有反饋形式的最優投資過程、消費過程及定期人壽死亡保險購買過程。
  3. First according to the fact that tangential components of the evolution do not affect the geometric shape of the evolving curves, we introduce the evolution equation of geometric quantities for the general planar curves. then we describe the work of gage - hamilton briefly. last we consider a special curvature flow of curve which evolves with speed function of the principal curvatures along the inner norm and show that convexity of the curve is kept and its length and area are contracted if the initial closed curve is smooth and convex. so the final shape of the curve will be a point in finite time

    首先根據曲線在切向分量上發展是不影響曲線的發展形狀，我們引入了曲線的一些幾何變量的發展方程；其次我們簡要地回顧gage - hamilton研究曲線發展的一般步驟；最後我們考慮沿曲線的內法線以曲率的函數為發展速度的一類特殊的曲線族，證明了在初始曲線為凸的閉平面簡單曲線條件下，曲線將保持凸的，並且它的面積和周長將同時收縮，並在有限時間內成為一個點。
  4. A sufficient condition for the existence of a solution to robust decentralized dissipative control via state feedback and via output feedback is derived in term of a set of hamilton - jacobi - issacs ( hji ) inequalities. the sufficient condition is that the robust decentralized dissipative control problem can be resovled for all admissible uncertainties, if there exists a scaling c1 storage function such that hji inequalities have nonnegative solution. the controllers constructed make the nonlinear system robust dissipative with respect to the quadratic supply rate

    基於hji不等式給出了含有不確定和干擾非線性互聯系統魯棒分散耗散控制存在的充分條件，即對于所有允許的不確定如果存在標量c ~ 1類存儲函數使得hji不等式有非負定解，那麼非線性互聯系統魯棒分散耗散控制就可獲得，並且構造的控制器使得非線性互聯系統在給定二次型供給率下具有魯棒耗散性。
  5. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. finally, we will employ the minkowski ' s support function to construct a new kind of non - circular smooth constant breadth curves in order to attack some open problems on the constant width curves ( for example, whether there is a non - circular polynomial curve of constant width, etc. ) in the second part, we will first follow the ideas of gage - hamilton [ 28 ], gage [ 26 ] and the author ' s dissertation [ 47 ] to present a perimeter - preserving closed convex curve flow in the plane, which is from physical phenomena

    其次，對雙曲平面上的曲線引入平均測地曲率的概念，並討論雙曲平面上凸曲線的嵌入性與它的平均測地曲率之間的關系，其目的是為了將雙曲平面上曲線的性質與歐氏平面中曲線的性質作一些對比；最後，我們利用minkowski支撐函數構造了一類新的非圓的光滑常寬曲線，其目的是想回答有關常寬曲線的一些未解決問題（如是否存在非圓的多項式常寬曲線
  6. The tu ' s scheme is extended to the generalized dirac spectral problem with an arbitrary function, the generalized kaup - newell spectral problem and the new 3x3 spectral problem with five potentials such that their lax integrabie integrabie hierarchies of equations and liouville integrabie hamilton structures are obtained. chapter 7 is devote to higher - order constraint flow, involutive system, lax representation, r - matrix and the separation of variables

    第六章研究了lax可積的新的方程族和liouville可積的n - hamilton結構方面的問題：將屠格式推廣到新的含有任意函數的廣義dirac族的譜問題、廣義kaup - newell譜問題及含有五個位勢函數的3 3譜問題，研究了它們的lax可積的方程族和liouville可積的hamilton結構。
  7. At first, the robust h control for uncertain nonlinear systems with norm bounded uncertainties is studied, based on a positive definite solution of hamilton - jacobi - issacs inequality ( hji ), a sufficient condition is given such that the closed loop system is asymptotically stable and its l2 - gain is less than or equal to a prescribed value. using this condition state feedback control law and an output feedback control law which ensured robust hx performance of the closed - loop system are derived. due to the difficulty to solve hji, a method is proposed which do not require solving it by using an appropriate lyapunov function

    首先，研究了范數有界型不確定非線性系統魯棒h _控制問題，基於hamilton - jacobi - issacs不等式（ hji ） ，給出了閉環系統漸近穩定且l _ 2 -增益有限的狀態反饋和輸出反饋設計演算法。考慮求解hji的困難性，針對不確定非線性系統，通過適當地選擇lyapunov函數，提出了求解非線性系統魯棒h _控制問題的演算法，可以避免求解hji 。
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