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Global exponential stability of bidirectional associative memory neural networks with time delays
Xin-Ge Liu1, Ralph R Martin, Min Wu
1School of Mathematical Science and Computing Technology, Central South University, Changsha, Hunan 410083, China liuxgliuhua@163.com
Abstract:
In this paper, we consider delayed bidirectional associative memory (BAM) neural networks (NNs) with Lipschitz continuous activation functions. By applying Young's inequality and Hoelder's inequality techniques together with the properties of monotonic continuous functions, global exponential stability criteria are established for BAM NNs with time delays. This is done through the use of a new Lyapunov functional and an M-matrix. The results obtained in this paper extend and improve previous results.
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