Function projective lag synchronization in a class of chaotic systems with unknown parameters

Considered the inevitable time delay in the practical synchronization, the function projective lag synchronization (FPLS) is investigated in this paper, which makes the states of two chaotic systems asymptotically lag synchronized up to a desired scaling function. Based on adaptive control scheme, the adaptive control law and the parameter update law are derived for a class of chaotic systems with unknown parameters. We take Lorenz system as an example to verify the effectiveness of the proposed scheme. Theoretical analysis and numerical simulation demonstrate the effectiveness of this method.

[1]  Zhenyuan Xu,et al.  Function projective synchronization in drive–response dynamical network , 2010 .

[2]  Hongyue Du,et al.  Function projective synchronization in coupled chaotic systems , 2010 .

[3]  Qingshuang Zeng,et al.  A general method for modified function projective lag synchronization in chaotic systems , 2010 .

[4]  吴召艳,et al.  Adaptive Function Projective Synchronization of Discrete Chaotic Systems with Unknown Parameters , 2010 .

[5]  Hongyue Du,et al.  Modified function projective synchronization of chaotic system , 2009 .

[6]  Guohui Li,et al.  Projective lag synchronization in chaotic systems , 2009 .

[7]  Ju H. Park,et al.  FURTHER RESULTS ON FUNCTIONAL PROJECTIVE SYNCHRONIZATION OF GENESIO–TESI CHAOTIC SYSTEM , 2009 .

[8]  Thang Manh Hoang,et al.  A secure communication system using projective-lag and/or projective-anticipating synchronizations of coupled multidelay feedback systems , 2008 .

[9]  Manfeng Hu,et al.  Adaptive feedback controller for projective synchronization , 2008 .

[10]  Jun-an Lu,et al.  Full state hybrid lag projective synchronization in chaotic (hyperchaotic) systems , 2008 .

[11]  Guohui Li.  Modified projective synchronization of chaotic system , 2007 .

[12]  Yong Chen,et al.  FUNCTION PROJECTIVE SYNCHRONIZATION BETWEEN TWO IDENTICAL CHAOTIC SYSTEMS , 2007 .

[13]  Jianping Yan,et al.  Generalized projective synchronization of a unified chaotic system , 2005 .

[14]  C. Chee,et al.  Secure digital communication using controlled projective synchronisation of chaos , 2005 .

[15]  Daolin Xu,et al.  A secure communication scheme using projective chaos synchronization , 2004 .

[16]  Alexey A Koronovskii,et al.  An approach to chaotic synchronization. , 2004, Chaos.

[17]  D Xu,et al.  Control of projective synchronization in chaotic systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Ronnie Mainieri,et al.  Projective Synchronization In Three-Dimensional Chaotic Systems , 1999 .

[19]  J. Kurths,et al.  From Phase to Lag Synchronization in Coupled Chaotic Oscillators , 1997 .

[20]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[21]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.