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Abstract
This study mainly investigates finite-time multi-switching synchronisation 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 synchronisation for multi-systems is first given. Then, sliding mode control approach is used to design the synchronisation controllers, which guarantee that any states of each drive system can synchronise the expected states of every response system in finite time. Simultaneously, the adaptive laws effectively estimate the unknown parameters and the unknown constants of disturbances. Finally, simulation example and analysis display the correctness and effectiveness of all innovations.
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