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

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Daniel Felix Ritchie School of Engineering and Computer Science, Electrical and Computer Engineering


Synchronization, Switches, Neural networks, Delays, Complex networks, Symmetric matrices, Linear systems


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.

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