Chaotic incommensurate fractional order Rössler system: active control and synchronization

Advances in Difference Equations

Dumitru Baleanu¹  Vahid Johari Majd²  Abolhassan Razminia² 

[1] Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, ÇIntelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran;ankaya University, Ankara, Turkey

关键词: Fractional order system;    Active control;    Synchronization;    Rössler system;    Chaos;   

DOI  :  10.1186/1687-1847-2011-15

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we present an active control methodology for controlling the chaotic behavior of a fractional order version of Rössler system. The main feature of the designed controller is its simplicity for practical implementation. Although in controlling such complex system several inputs are used in general to actuate the states, in the proposed design, all states of the system are controlled via one input. Active synchronization of two chaotic fractional order Rössler systems is also investigated via a feedback linearization method. In both control and synchronization, numerical simulations show the efficiency of the proposed methods.

【 授权许可】

CC BY