标题:Stability of fractional-order population growth model based on distributed-order approach
作者:Li, Yan ;Chen, Yangquan ;Zhai, Lun
通讯作者:Li, Yan
作者机构:[Li, Yan ;Zhai, Lun ] School of Control Science and Engineering, Shandong University, Jinan; 250061, China;[Chen, Yangquan ] School of Engineering, Un 更多
会议名称:Proceedings of the 33rd Chinese Control Conference, CCC 2014
会议日期:28 July 2014 through 30 July 2014
来源:Proceedings of the 33rd Chinese Control Conference, CCC 2014
出版年:2014
页码:2586-2591
DOI:10.1109/ChiCC.2014.6897043
关键词:Fractional calculus; Lyapunov method; Population growth model; Positivity; Stability
摘要:The stability of fractional-order nonlinear system is still an open problem. In this paper, the stability issue of the positive nonlinear fractional-order population growth model is investigated by using the distributed-order approach and the Lyapunov method. The unconditionally stability is derived, and it is shown that the fact of stability for the equilibrium of fractional-order population growth model is equivalent to the corresponding integer-order one. The order-dependent and order-independent cases are discussed, and some salient features of fractional-order and distributed-order systems are discussed as well. Two numerical examples are illustrated to validate the concepts, and to reveal the heredity of fractional-order systems. © 2014 TCCT, CAA.
收录类别:EI;SCOPUS
Scopus被引频次:1
资源类型:会议论文;期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84907924604&doi=10.1109%2fChiCC.2014.6897043&partnerID=40&md5=ca58a7fdf6dbaff23ccf5f8ff0a0d28f
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