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按段多重一般正交多项式系及其在线性系统状态分析中的应用
引用本文:胡仰曾.按段多重一般正交多项式系及其在线性系统状态分析中的应用[J].医学教育探索,1990(4).
作者姓名:胡仰曾
作者单位:华东化工学自动化研究所
基金项目:国家自然科学基金(项目编号:6884021)
摘    要:本文引入按段多重一般正交多项式系,提出了它的一些主要性质,並把它应用于线性时不变和时变系统的状态分析,给出了有关的递推算法。由于采用了按段多重低阶正交多項式逼近技术,该方法具有计算量少、计算时间短、结果精度高和可递推计算等优点。

关 键 词:正交多项式系  函数逼近  状态分析  线性时不变系统  线性时变系统

A Series of Piecewise General Orthogonal Polynomials and Its Application to State Analysis for Linear Systems
Hu Yangzeng.A Series of Piecewise General Orthogonal Polynomials and Its Application to State Analysis for Linear Systems[J].Researches in Medical Education,1990(4).
Authors:Hu Yangzeng
Institution:Research Institute of Automatic Control
Abstract:A series of piecewise multiple general orthogonal polynomials (PMGOP) is introduced. Main properties of PMGOP are given And the series of PMGOP is applied to state analysis for linear time-invariant and time-varying systems. Relevant recursive algorithms are presented. By using the approximative technique via piecewise multiple orthogonal polynomials with low order, the method gsven in the paper has the following advantages: the amount of computation is less, computing time is less, the accuracy is higher and the algorithms are recursive.
Keywords:orthogonal polynomials  function approximation  state analysis  linear time-invariant systems  linear time-varying systems  
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