SOLUTION OF MULTI-DELAY SYSTEMS VIA COMBINED BLOCK-PULSE FUNCTIONS AND LEGENDRE POLYNOMIALS

被引：0

作者：

Razzaghi, Mohsen ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2009年 / 17卷 / 03期

关键词：

orthogonal functions; hybrid functions; multi-delay systems; block-pulse functions; Legendre polynomials;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for finding the solution of a linear time varying multi-delay systems using a hybrid function is proposed. The properties of the hybrid functions which consists of block-pulse functions plus Legendre polyno- mials are presented. The method is based upon expanding various time functions in the system as their truncated hybrid functions. Operational matrices of integration, delay and product are presented and are utilized to reduce the solution of multi-delay systems to the solution of algebraic equations. An Illustrative examples are included to demonstrate the va- lidity and applicability of the technique.

引用

页码：223 / 232

页数：10

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