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[en] This paper investigates the equal combination synchronization of a class of chaotic systems. The chaotic systems are assumed that only the output state variable is available and the output may be discontinuous state variable. By constructing proper observers, some novel criteria for the equal combination synchronization are proposed. The Lorenz chaotic system is taken as an example to demonstrate the efficiency of the proposed approach
[en] This Letter addresses the function project synchronization problem of two Roessler hyperchaotic in the presence of unknown system parameters. Based on Lyapunov stability theory an adaptive control law is proposed to make the states of two identical Roessler hyperchaotic systems asymptotically synchronized. Numerical simulations are presented to show the effectiveness of the proposed schemes
[en] This Letter derives some sufficient conditions for the stabilization and synchronization of the new chaotic system proposed by [G.Y. Qi, et al., Physica A 352 (2005) 295] via an impulsive method. Some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled new chaotic system are obtained with varying impulsive intervals. In particular, some simple and easily verified criteria are established with equivalent impulsive intervals. An illustrative example is finally included to visualize the effectiveness and feasibility of the developed methods
[en] This work presents the modified projective synchronization between two different hyperchaotic systems in the presence of unknown or/and uncertain system parameters. Based on the Lyapunov stability theory, two control laws are proposed to make the states of two hyperchaotic systems asymptotically synchronized. Theoretical analysis and numerical simulations are shown to verify the results.
[en] This paper addresses the function projective synchronization problem of two unified chaotic systems in the presence of unknown system parameters. Based on Lyapunov stability theory two adaptive control laws are proposed to make the states of two identical chaotic systems asymptotically synchronized according to the number of parameters. By this methods, one can achieve chaotic synchronization and identify the unknown parameters simultaneously. Numerical simulations are presented to show the effectiveness of the proposed schemes.