Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems |
| |
Authors: | Song Zheng |
| |
Institution: | School of Mathematics and Statistics, Institute of Applied Mathematics, Zhejiang University of Finance & Economics, Hangzhou, Zhejiang, People's Republic of China |
| |
Abstract: | This article investigates the function projective synchronization (FPS) for a class of time‐delay chaotic system via nonlinear adaptive‐impulsive control. To achieve the FPS, suitable nonlinear continuous and impulsive controllers are designed based on adaptive control theory and impulsive control theory. Using the generalized Babarlat's lemma, a general condition is given to ensure the FPS. Here, the time‐delay chaotic system is assumed to satisfy the Lipschitz condition while the Lipschitz constants are estimated by augmented adaptation equations. Numerical simulation results are also presented to verify the effectiveness of the proposed synchronization scheme. © 2014 Wiley Periodicals, Inc. Complexity 21: 333–341, 2015 |
| |
Keywords: | chaotic systems time‐delay systems function projective synchronization adaptive‐impulsive control |
|
|