Projective synchronization of a hyperchaotic system via periodically intermittent control

We further study the projective synchronization of a new hyperchaotic system. Different from the most existing methods, intermittent control is applied to chaotic synchronization in the present paper. We formulate the intermittent control system that governs the dynamics of the projective synchronization error, then derive the sufficient conditions for the exponential stability of intermittent control system by using the Lyapunov stability theory, and finally establish the periodically intermittent controller according to the stability criterion by which the projective synchronization is expected to be achieved. The analytical results are also demonstrated by several numerical simulations.

[1]  Liu Yang-Zheng,et al.  A new switched four-scroll hyperchaotic system and its circuit implementation , 2010 .

[2]  Qigui Yang,et al.  Hyperchaotic attractors from a linearly controlled Lorenz system , 2009 .

[3]  Wang Xing-Yuan,et al.  Generalized Synchronization of Diverse Structure Chaotic Systems , 2011 .

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

[5]  Y. Soh,et al.  The stabilization and synchronization of Chua's oscillators via impulsive control , 2001 .

[6]  Jun-an Lu,et al.  Projective and lag synchronization of a novel hyperchaotic system via impulsive control , 2011 .

[7]  Chuandong Li,et al.  Stabilization of Nonlinear Systems via Periodically Intermittent Control , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[8]  Chuandong Li,et al.  Synchronization of chaotic systems with delay using intermittent linear state feedback. , 2008, Chaos.

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

[10]  D. Zanette,et al.  Anticipated synchronization in coupled chaotic maps with delays , 2001, nlin/0104061.

[11]  Xiwei Liu,et al.  Cluster Synchronization in Directed Networks Via Intermittent Pinning Control , 2011, IEEE Transactions on Neural Networks.

[12]  Carroll,et al.  Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[13]  M. Zochowski.  Intermittent dynamical control , 2000 .

[14]  Gang Hu,et al.  Synchronization of a one-dimensional array of Chua's circuits by feedback control and noise , 1995 .

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

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

[17]  Debin Huang,et al.  A Simple Adaptive-feedback Controller for Identical Chaos Synchronization , 2022 .

[18]  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.

[19]  Yu Qian,et al.  Research on impulsive synchronization approach ofparameter uncertain hyperchaotic systems with time-delay , 2011 .

[20]  Parlitz,et al.  Driving and synchronizing by chaotic impulses. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Yang Tao,et al.  Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication , 1997 .

[22]  Guanrong Chen,et al.  Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback , 2009 .

[23]  J. Daafouz,et al.  An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems , 2003 .

[24]  Guo-Ping Jiang,et al.  A New Criterion for Chaos Synchronization Using Linear State Feedback Control , 2003, Int. J. Bifurc. Chaos.

[25]  Wang Xing-Yuan,et al.  Modified projective synchronization of a fractional-order hyperchaotic system with a single driving variable , 2011 .