Fixed‐time synchronization for complex‐valued BAM neural networks with time delays

Ziye Zhang, Runan Guo, Xiaoping Liu, Maiying Zhong, Chong Lin, Bing Chen · Asian Journal of Control · 2019

Abstract In this paper, the fixed‐time synchronization for complex‐valued bidirectional associative memory (BAM) neural networks with time delays is studied. Based on the fixed‐time stability, the Lyapunov functional method and some inequality techniques, a new criterion is presented to guarantee that the addressed systems achieve synchronization in fixed time and a more accurate estimation independent of the initial conditions is given for the settling time. Meanwhile, a new nonlinear delayed controller different from the existing ones is designed. In the end, two numerical examples are provided to illustrate the effectiveness of the obtained result.

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