Stability of Fractional-order Population Growth Model Based on Distributed-order Approach
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.
Fractional calculus Stability Lyapunov method Population growth model Positivity
LI Yan CHEN YangQuan ZHAI Lun
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
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
2586-2591
2014-07-28(万方平台首次上网日期,不代表论文的发表时间)