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p/q-Type criteria for stability analysis in higher order Cohen-Grossberg-type bidirectional associative memory neural networks with time delays

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Abstract

In this paper, we investigate the higher order Cohen-Grossberg-type bidirectional associative memory (BAM) neural networks with time delays. By using Lyapunov-Kravsovskii functional and homeomorphism theory, some new sufficient conditions are established for the existence and global exponential stability of a unique equilibrium without strict conditions imposed on self regulation functions. Finally, an example and its simulations are presented to illustrate the global exponential stability of the equilibrium.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China

    Yonghui Xia

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  1. Yonghui Xia
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Correspondence to Yonghui Xia.

Additional information

This work was supported by the Natural Science Foundation of Fujian Province of China under Grant (No. S0750008) and the National Natural Science Foundation of Shanghai City of China under Grant (No. 08ZR1416000).

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Xia, Y. p/q-Type criteria for stability analysis in higher order Cohen-Grossberg-type bidirectional associative memory neural networks with time delays. J. Appl. Math. Comput. 32, 311–328 (2010). https://doi.org/10.1007/s12190-009-0253-6

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  • DOI: https://doi.org/10.1007/s12190-009-0253-6

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