Synchronization control of complex system

What is it about?

This paper mainly investigates finite-time multi-switching synchronization of multiple uncertain complex chaotic systems with network transmission mode. Both the unknown parameters and disturbances are considered. By establishing the desired multi-switching rules, the definition of finite-time hybrid synchronization for multi-systems is first given. And then, sliding mode control approach is used to design the synchronization controllers, which guarantee that any states of each drive system can synchronize the expected states of every response system in finite time.

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Why is it important?

The focus of this paper is mainly reflected in FTMSS of multiple uncertain CVCSs with network transmission mode. The main innovations lie in three aspects. First, we pay close attention to multi-switching synchronization behavior among multiple uncertain CVCSs for the first time. More complex uncertainties are considered and the general multi-switching rules are proposed. Second, a novel FTS scheme is designed to ensure faster convergence of all error systems in finite time. Third, sliding mode method has shown the good performance on estimating all unknown parameters and the unknown constants about disturbances.

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