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Finite-Time Synchronization of Coupled Hierarchical Hybrid Neural Networks With Time-Varying Delays

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This paper is concerned with the finite-time synchronization problem of coupled hierarchical hybrid delayed neural networks. This coupled hierarchical hybrid neural networks consist of a higher level switching and a… Click to show full abstract

This paper is concerned with the finite-time synchronization problem of coupled hierarchical hybrid delayed neural networks. This coupled hierarchical hybrid neural networks consist of a higher level switching and a lower level Markovian jumping. The time-varying delays are dependent on not only switching signal but also jumping mode. By using a less conservative weighted integral inequality and stochastic multiple Lyapunov–Krasovskii functional, new finite-time synchronization criteria are obtained, which makes the state trajectories be kept within the prescribed bound in a time interval. Finally, an example is proposed to demonstrate the effectiveness of the obtained results.

Keywords: finite time; neural networks; coupled hierarchical; time; hierarchical hybrid; time synchronization

Journal Title: IEEE Transactions on Cybernetics
Year Published: 2017

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