Switched modified function projective synchronization between two complex nonlinear hyperchaotic systems based on adaptive control and parameter identification

This paper investigates adaptive switched modified function projective synchronization between two complex nonlinear hyperchaotic systems with unknown parameters. Based on adaptive control and parameter identification, corresponding adaptive controllers with appropriate parameter update laws are constructed to achieve switched modified function projective synchronization between two dierent complex nonlinear hyperchaotic systems and to estimate the unknown system parameters. A numerical simulation is presented to demonstrate the validity and feasibility of the proposed controllers and update laws.

[1]  Fei Yu,et al.  Complete switched modified function projective synchronization of a five-term chaotic system with uncertain parameters and disturbances , 2013 .

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

[3]  J. Lambert.  Numerical Methods for Ordinary Differential Systems: The Initial Value Problem , 1991 .

[4]  G. Grassi,et al.  Generalized synchronization between different chaotic maps via dead-beat control , 2012 .

[5]  M. M. El-Dessoky,et al.  Adaptive Feedback Control for the Projective Synchronization of the Lü Dynamical System and Its Application to Secure Communication , 2010 .

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

[7]  Gamal M. Mahmoud,et al.  Chaos control of chaotic limit cycles of real and complex van der Pol oscillators , 2004 .

[8]  Gamal M. Mahmoud,et al.  On Autonomous and nonautonomous Modified hyperchaotic Complex Lü Systems , 2011, Int. J. Bifurc. Chaos.

[9]  Yinghai Wang,et al.  Generalized projective synchronization in time-delayed chaotic systems , 2008 .

[10]  Jinhu Lu,et al.  Consensus of Discrete-Time Second-Order Multiagent Systems Based on Infinite Products of General Stochastic Matrices , 2013, SIAM J. Control. Optim..

[11]  Xinghuo Yu,et al.  Multi-Agent Systems with Dynamical Topologies: Consensus and Applications , 2013, IEEE Circuits and Systems Magazine.

[12]  Sergej Celikovský,et al.  On the anti-synchronization detection for the generalized Lorenz system and its applications to secure encryption , 2010, Kybernetika.

[13]  Jun-Wei Wang,et al.  Partial synchronization in coupled chemical chaotic oscillators , 2010, J. Comput. Appl. Math..

[14]  Mark J. McGuinness,et al.  The complex Lorenz equations , 1982 .

[15]  G. Mahmoud,et al.  A hyperchaotic complex system generating two-, three-, and four-scroll attractors , 2012 .

[16]  Jun Ma,et al.  Complete synchronization, phase synchronization and parameters estimation in a realistic chaotic system , 2011 .

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

[18]  Guanrong Chen,et al.  A Systematic Methodology for Constructing Hyperchaotic Systems With Multiple Positive Lyapunov Exponents and Circuit Implementation , 2014, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Jinhu Lu,et al.  Consensus of discrete-time multi-agent systems with transmission nonlinearity , 2013, Autom..

[20]  Hongtao Lu,et al.  Modified generalized projective synchronization of a new fractional-order hyperchaotic system and its application to secure communication , 2012 .

[21]  Tassos Bountis,et al.  Active Control and Global Synchronization of the Complex Chen and lÜ Systems , 2007, Int. J. Bifurc. Chaos.

[22]  Emad E. Mahmoud,et al.  On the hyperchaotic complex Lü system , 2009 .

[23]  Gamal M. Mahmoud,et al.  Chaotic and hyperchaotic attractors of a complex nonlinear system , 2008 .

[24]  Xiang Li,et al.  Adaptive modified function projective synchronization of general uncertain chaotic complex systems , 2012 .

[25]  K. Sudheer,et al.  Switched modified function projective synchronization of hyperchaotic Qi system with uncertain parameters , 2010 .

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

[27]  Jin Zhou,et al.  Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch , 2013, Kybernetika.

[28]  P. K. Roy,et al.  Lag synchronization and scaling of chaotic attractor in coupled system. , 2012, Chaos.

[29]  Emad E. Mahmoud,et al.  Complete synchronization of chaotic complex nonlinear systems with uncertain parameters , 2010 .

[30]  Emad E. Mahmoud,et al.  ANALYSIS OF HYPERCHAOTIC COMPLEX LORENZ SYSTEMS , 2008 .

[31]  Wei Zhu,et al.  Function projective synchronization for fractional-order chaotic systems , 2011 .

[32]  Emad E. Mahmoud,et al.  A Hyperchaotic Complex Chen System and its Dynamics , 2007 .

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