文章基本信息

标题：Further results on the strong stability of difference equations of continuous time
本地全文：下载
作者：Qian Ma ; Keqin Gu ; Narges Choubedar 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：13318-13323
DOI：10.1016/j.ifacol.2017.08.1332
语种：English
出版社：Elsevier
摘要：AbstractThis article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters τii= 1, 2,..., K. The characteristic quasipolynomial of such an equation is a multilinear function of e-Tis. It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delay-per-scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong stability the exponential stability of a fixed set of rationally independent delays, and the stability for all positive delays is shown.
关键词：KeywordsStabilitytime delaydifference equationquasipolynomial