Stability of Fractional-order Population Growth Model Based on Distributed-order Approach

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.

关键词： Fractional calculus Stability Lyapunov method Population growth model Positivity

作者: LI Yan CHEN YangQuan ZHAI Lun

作者单位: School of Control Science and Engineering,Shandong University,Jinan 250061,Shandong,P. R. China School of Engineering,University of California,Merced 5200 North Lake Road,Merced,CA 95343,USA

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2586-2591

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）