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Robust synchronization of master slave chaotic systems are considered in this work.
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Consider a general master-slave chaotic dynamical system that is described as follows: { Master: x ˙ ( t ) = A x ( t ) + f ( x ( t ), t ), Slave: y ˙ ( t ) = B y ( t ) + g ( y ( t ), t ) + u ( t ), (1).
Theorem 1 Suppose master-slave chaotic system (1) satisfies Assumption 1.
In order to study the lag projective synchronization of master-slave chaotic system (1), the following assumption is firstly given.
In Section 2, the investigated master-slave chaotic system is presented and an adaptive synchronization controller is designed.
In particular, for a master-slave chaotic system with different state equations, this problem becomes much more difficult.
This paper investigates the lag projective synchronization and anti-synchronization problems for a general master-slave chaotic system with bounded nonlinearity.
hold, then master-slave chaotic system (1) synchronizes well under the action of adaptive controller (4), where α and β are any given positive constants.
In the past few decades, the synchronization of master-slave chaotic systems has become a hot research topic in the nonlinear science field.
In this paper, the lag projective (anti- synchronization problems for anti- synchronizatione chaotic systems by using the adaproblemsntrol method have been investigated.
For example, Su et al. investigated the synchronization of a discrete master-slave chaotic system with impulsive effect in [9], and Qi et al. investigated the H ∞ synchronization of a discrete master-slave chaotic system with external disturbance in [10], respectively.
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