Adaptive synchronization of uncertain chaotic systems with adaptive scaling function

Abstract The problem of adaptive synchronization for the uncertain chaotic systems with adaptive scaling function is investigated in this paper. In comparison to those of the existing scaling function synchronization, such as the presetting scaling function, the aim of this paper is focused not only on the scaling function but also on the identification of parameters of the chaotic system. Finally, to illustrate the implementation of the proposed method, some numerical simulations are given.

[1]  H. An,et al.  The function cascade synchronization method and applications , 2008 .

[2]  Luo Runzi,et al.  Impulsive control and synchronization of a new chaotic system , 2008 .

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

[4]  Jitao Sun,et al.  Function projective synchronization of two-cell quantum-CNN chaotic oscillators by nonlinear adaptive controller , 2010 .

[5]  Hongyue Du,et al.  Function projective synchronization of different chaotic systems with uncertain parameters , 2008 .

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

[7]  Yongguang Yu,et al.  Author's Personal Copy Nonlinear Analysis: Real World Applications Adaptive Generalized Function Projective Synchronization of Uncertain Chaotic Systems , 2022 .

[8]  Zhenyuan Xu,et al.  Projective synchronization in drive-response dynamical networks , 2007 .

[9]  Jun-an Lu,et al.  Adaptive feedback synchronization of a unified chaotic system , 2004 .

[10]  Giuseppe Grassi Propagation of projective synchronization in a series connection of chaotic systems , 2010, J. Frankl. Inst..

[11]  José Manoel Balthazar,et al.  On control and synchronization in chaotic and hyperchaotic systems via linear feedback control , 2008 .

[12]  Shihua Chen,et al.  Impulsive control and synchronization of unified chaotic system , 2004 .

[13]  Junan Lu,et al.  Adaptive synchronization of an uncertain complex dynamical network , 2006, IEEE Transactions on Automatic Control.

[14]  Guanrong Chen,et al.  YET ANOTHER CHAOTIC ATTRACTOR , 1999 .

[15]  Tianping Chen,et al.  Adaptive Synchronization of Coupled Chaotic Delayed Systems Based on Parameter Identification and its Applications , 2006, Int. J. Bifurc. Chaos.

[16]  Yuhua Xu,et al.  Topology identification and adaptive synchronization of uncertain complex networks with non-derivative and derivative coupling , 2010, J. Frankl. Inst..

[17]  Jinhu Lu,et al.  Parameters identification and synchronization of chaotic systems based upon adaptive control , 2002 .

[18]  Jinde Cao,et al.  Global dissipativity of stochastic neural networks with time delay , 2009, J. Frankl. Inst..

[19]  Albert C. J. Luo,et al.  A theory for synchronization of dynamical systems , 2009 .

[20]  Luo Runzi,et al.  Adaptive function project synchronization of Rössler hyperchaotic system with uncertain parameters , 2008 .

[21]  Jian-an Fang,et al.  General methods for modified projective synchronization of hyperchaotic systems with known or unknown parameters , 2008 .

[22]  Daolin Xu,et al.  Nonlinear observer control for full-state projective synchronization in chaotic continuous-time systems , 2005 .

[23]  Jinde Cao,et al.  Adaptive synchronization for delayed neural networks with stochastic perturbation , 2008, J. Frankl. Inst..

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

[25]  S. Bowong Adaptive synchronization between two different chaotic dynamical systems , 2007 .

[26]  Jinhu Lu,et al.  A New Chaotic Attractor Coined , 2002, Int. J. Bifurc. Chaos.

[27]  Amir Abolfazl Suratgar,et al.  Adaptive control of PLL using neural network , 2009, J. Frankl. Inst..

[28]  Jinde Cao,et al.  Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification , 2007 .