Generalized function projective synchronization of coupled chaotic systems with parameter mismatch, time-delay and stochastic perturbation is investigated. The synchronization is realized by analyzing the stochastic stability of the error system. According to the invariance principle of the stochastic differential equation, the unknown parameters update laws and the control laws are proposed. The generalized function projective synchronization of coupled chaotic or hyper chaotic systems is realized. At last, a numerical example is presented to show the effectiveness of the theoretical results.
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