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
收藏
页码：2586 / 2591
页数：6
相关论文
共 37 条
[11]  
El-Sayed A.M.A., 2010, Alex. J. Math, V1, P1
[12]  
FREED A, 2002, NASATM2002211914
[13]  
Hartley T. T., 1999, NASATM1999209640
[14]  
Jiao Z, 2012, SPRBRIEF ELECT, P1, DOI 10.1007/978-1-4471-2852-6
[15]   Stability Tests of Positive Fractional Continuous-time Linear Systems with Delays [J].
Kaczorek, T. .
TRANSNAV-INTERNATIONAL JOURNAL ON MARINE NAVIGATION AND SAFETY OF SEA TRANSPORTATION, 2013, 7 (02) :211-215
[16]   Positive fractional linear electrical circuits [J].
Kaczorek, Tadeusz .
PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH-ENERGY PHYSICS EXPERIMENTS 2013, 2013, 8903
[17]   Positive Linear Systems Consisting of n Subsystems With Different Fractional Orders [J].
Kaczorek, Tadeusz .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (06) :1203-1210
[18]   PRACTICAL STABILITY AND ASYMPTOTIC STABILITY OF POSITIVE FRACTIONAL 2D LINEAR SYSTEMS [J].
Kaczorek, Tadeusz .
ASIAN JOURNAL OF CONTROL, 2010, 12 (02) :200-207
[19]   Remarks on fractional derivatives [J].
Li, Changpin ;
Deng, Weihua .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) :777-784
[20]  
Li Y, 2011, P ASME 2011 INT DES
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