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Dissipativity analysis of complex-valued BAM neural networks with time delay

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Abstract

This paper is concerned with dissipativity analysis of complex-valued bidirectional associative memory (BAM) neural networks (NNs) with time delay. Some novel sufficient conditions that guarantee the dissipativity of complex-valued BAM neural networks (CVBNNs) are obtained by using the inequality techniques, Halanay inequality, and upper right Dini derivative concepts. The complex-valued nonlinear function is separated into its real and imaginary parts to a set of sufficient conditions for the global dissipativity of CVBNNs by using the matrix measure method. Moreover, the global attractive sets are obtained, which are positive invariant sets. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed theoretical results.

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Notes

  1. Markovian jump systems are the combination of two components: the continuous time finite state Markovian process(refers to mode) and the system of differential equations (refers to state). Markovian jump systems is described as a specialclass of dynamical systems with finite mode operation due to random changes in their structure, such as component repairsor failures, changing subsystems inter connections, sudden environmental disturbance, and so on.

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Acknowledgements

The support of the UAE University to execute this work is highly acknowledged and appreciated.

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Authors and Affiliations

  1. Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain, 15551, United Arab Emirates

    C. Rajivganthi & F. A. Rihan

  2. Institute for Intelligent Systems Research and Innovation (IISRI), Geelong Waurn Ponds Campus, Deakin University, Geelong, Australia

    S. Lakshmanan

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  1. C. Rajivganthi
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  2. F. A. Rihan
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  3. S. Lakshmanan
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Correspondence to C. Rajivganthi.

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Rajivganthi, C., Rihan, F.A. & Lakshmanan, S. Dissipativity analysis of complex-valued BAM neural networks with time delay. Neural Comput & Applic 31, 127–137 (2019). https://doi.org/10.1007/s00521-017-2985-9

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  • DOI: https://doi.org/10.1007/s00521-017-2985-9

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