Projective synchronisation of fractional-order memristive systems with different structures based on active control method

被引：5

作者：

Cang, Shijian ^{[1
]}

Chen, Zengqiang ^{[2
]}

Wang, Zenghui ^{[3
]}

Jia, Hongyan ^{[4
]}

机构：

[1] Tianjin Univ Sci & Technol, Dept Ind Design, Tianjin 300457, Peoples R China

[2] Nankai Univ, Dept Automat, Tianjin 300071, Peoples R China

[3] Univ S Africa, Dept Elect & Min Engn, ZA-1710 Florida, South Africa

[4] Tianjin Univ Sci & Technol, Dept Automat, Tianjin 300222, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SENSOR NETWORKS | 2013年 / 14卷 / 02期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

memristive system; projective synchronisation; fractional-order; scaling factor; CHAOS; LORENZ; BIFURCATION; EQUATIONS; ROSSLER;

D O I：

10.1504/IJSNET.2013.056609

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An active control strategy is proposed to investigate the problem of projective synchronisation of two coupled fractional-order memristive chaotic systems in this paper. Based on the Laplace transform, it is proved that the proposed active controller can realise the projective synchronisation between two fractional-order memristive systems with different structures. The phase portraits and the error curves are also used to verify the effectiveness of the proposed method.

引用

页码：102 / 108

页数：7

共 29 条

[1] On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].

Ahmed, E. ;

El-Sayed, A. M. A. ;

El-Saka, Hala A. A. .

PHYSICS LETTERS A, 2006, 358 (01) :1-4

[2] Fractional-order anisotropic diffusion for image denoising [J].

Bai, Jian ;

Feng, Xiang-Chu .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 2007, 16 (10) :2492-2502

[3] Adaptive control of printing devices using fractional-order hold circuits adjusted through neural networks [J].

Barcena, Rafael ;

Etxebarria, Ainhoa .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (06) :801-812

[4] Synchronization of neural activity and information processing [J].

Borisyuk, R ;

Borisyuk, G ;

Kazanovich, Y .

BEHAVIORAL AND BRAIN SCIENCES, 1998, 21 (06) :833-+

[5] A comparative investigation of controlling chaos in a Rossler system [J].

Braun, T ;

Heisler, IA .

PHYSICA A, 2000, 283 (1-2) :136-139

[6] BIFURCATION AND CHAOS IN THE FRACTIONAL-ORDER CHEN SYSTEM VIA A TIME-DOMAIN APPROACH [J].

Cafagna, Donato ;

Grassi, Giuseppe .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (07) :1845-1863

[7] Fractional-order Chua's circuit: Time-domain analysis, bifurcation, chaotic behavior and test for chaos [J].

Cafagna, Donato ;

Grassi, Giuseppe .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (03) :615-639

[8] Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rossler systems [J].

Cafagna, Donato ;

Grassi, Giuseppe .

NONLINEAR DYNAMICS, 2012, 68 (1-2) :117-128

[9] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[10] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

← 1 2 3 →