Finite-time synchronization of chaotic systems with noise perturbation. (English) Zbl 1363.34186
Summary: In this paper, we investigate the finite-time stochastic synchronization of two chaotic systems with noise perturbation. We propose new adaptive controllers, with which we can synchronize two chaotic systems in finite time. Sufficient conditions for the finite-time stochastic synchronization are derived based on the finite-time stability theory of stochastic differential equations. Finally, some numerical examples are examined to demonstrate the effectiveness and feasibility of the theoretical results.
MSC:
| 34D06 | Synchronization of solutions to ordinary differential equations |
| 34C28 | Complex behavior and chaotic systems of ordinary differential equations |
| 34D10 | Perturbations of ordinary differential equations |
| 93C40 | Adaptive control/observation systems |
| 34D20 | Stability of solutions to ordinary differential equations |
| 34F05 | Ordinary differential equations and systems with randomness |
| 34H10 | Chaos control for problems involving ordinary differential equations |
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