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Based on the above new sliding mode surface, a kind of robust synchronization strategy was designed to solve the problem that how to use two active input to realized synchronization of three chaotic states.At last, detailed numerical simulation were done to testify the rightness and effectiveness of the proposed method.
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First, to realize synchronization of the master slave system, continuous and discontinuous controllers are designed, respectively.
The conditions of realizing synchronization between uncertain nonidentical networks are discussed and obtained.
The strategy is based on pinning control: single controller is designed to pin the whole network and realize synchronization.
By constructing Lyapunov function and using inequalities, some effective criteria are provided to realize synchronization in finite time.
To realize synchronization acquisition triggering, transmission delay of beacon between gateway and each acquisition node is calculated and compensated.
This approach needs only a scalar driving signal to realize synchronization no matter how many dimensions the chaotic system contains.
This approach needs only a single controller to realize synchronization no matter how many dimensions the chaotic system contains.
Based on Lyapunov stability theories, several criteria are established to guarantee that the drive and response MBAMNNs can realize synchronization in a fixed time.
The two schemes, based on the stability theory of the fractional-order system, are rather simple, theoretically rigorous and convenient to realize synchronization.
Fixed-time synchronization not only claims that the considered master slave system realizes synchronization within a finite time segment, but also requires a uniform upper bound for such time intervals for all initial synchronization errors.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com