Abstract
AbstractIt’s important to estimate the unknown parameters of chaotic systems in chaos synchronization, so study synchronization of time-delayed chaotic systems of uncertain system parameters is meaningful. Here proposed a synchronized time-delayed chaotic systems of uncertain system parameters, which based on the Lyapunov-krasovskii functional theory. Use parameter identification and adaptive strategy, the time-delay synchronization controller and the adaptive law of parameters are designed respectively. It was proved by mathematical derivation. The simulation with three-dimensional and four-dimensional time-delay chaotic system shows that system synchronization is satisfied and the unknown parameters can be estimated ideally. Experiment results also indicate that the scheme was effective and universal.Keywordsparameter identificationtime-delay chaotic systemadaptive synchronizationasymptotic stability
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