• 作者： Wang,Maw-Ling; Chang,Rong-Yeu
• 中文摘要： 本文主要以二維廣義正交多項式估計線性分佈系統之參數,其特徵在於使用一種非常有效之廣義正交多項式之微分矩陣參與運算中。因此,使得在參數估計中相當簡單,利用微分矩陣最大好處在於吾人可在任何時間開始做參數估計,而不必從時間為零開始,同時,在解參數時所設立之代數式是相當簡捷就可運算,本文同時以一個例子來展示本文所提供方法之有效性。
• 英文摘要： Two dimensional generalized orthogonal polynomials are used for estimating the parameters of linear distributed systems. An effective operational matrix for the differentiation of the generalized orthogonal polynomials makes the parameter estimation easily. The main advantage of using a differentiation operation matrix is that the unknown parameters can be estimated starting at any time of interest without beginning from zero times. The algorithm for formulating the algebraic equations to estimate the unknown parameters are straightforward. An illustrative example is given to demonstrate the validity of the method.
• 中文關鍵字： 微分矩陣; 參數識別; 分佈系統; 正交多項式
• 英文關鍵字： Differentiation Operational Matrix; Parameter Identification; Distributed Systems; Orthogonal Polynomial