文章基本信息

标题：Analysis of Linear Piecewise Constant Delay Systems Using a Hybrid Numerical Scheme
本地全文：下载
作者：H. R. Marzban ; S. M. Hoseini
期刊名称：Advances in Numerical Analysis
印刷版ISSN：1687-9562
电子版ISSN：1687-9570
出版年度：2016
卷号：2016
DOI：10.1155/2016/8903184
出版社：Hindawi Publishing Corporation
摘要：An efficient computational technique for solving linear delay differential equations with a piecewise constant delay function is presented. The new approach is based on a hybrid of block-pulse functions and Legendre polynomials. A key feature of the proposed framework is the excellent representation of smooth and especially piecewise smooth functions. The operational matrices of delay, derivative, and product corresponding to the mentioned hybrid functions are implemented to transform the original problem into a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the proposed numerical scheme.