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

被引：0

作者：

Li Yan ^{[1
]}

Chen YangQuan ^{[2
]}

Zhai Lun ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[2] Univ Calif Merced, Sch Engn, Merced, CA 95343 USA

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

Fractional calculus; Stability; Lyapunov method; Population growth model; Positivity; SYSTEMS; DIFFUSION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：2586 / 2591

页数：6

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