标题：Stability of fractional-order population growth model based on distributed-order approach
作者：Li, Yan ;Chen, Yangquan ;Zhai, Lun
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
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.