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Robust Passivity and Stability Analysis of Uncertain Complex-Valued Impulsive Neural Networks with Time-Varying Delays

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Abstract

In this article, we investigate the robust passivity and stability analysis of uncertain complex-valued impulsive neural network (UCVINN) models with time-varying delays. Many practical systems are subject to uncertainty in the real-world environments. As a result, we consider the uncertainty of norm-bounded parameters to achieve more realistic system behaviors. By using appropriate Lyapunov–Krasovskii functionals and integral inequalities, sufficient conditions for the robust passivity and global asymptotic stability of UCVINNs are derived by separating complex-valued neural networks into real and imaginary parts. The criteria are given in terms of linear matrix inequalities (LMIs) that can be checked by the MATLAB LMI toolbox. Finally, numerical simulations are presented to illustrate the merits of the obtained results.

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Acknowledgements

This research work was supported by the Thailand Research Research Grant Fund RSA6280004 and Maejo University, Thailand. The constructive comments and suggestions given by the reviewers are highly appreciated.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, Thailand

    G. Rajchakit

  2. Vel Tech High Tech Dr.Rangarajan Dr.Sakunthala Engineering College, Chennai, Tamil Nadu, 600062, India

    R. Sriraman

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  1. G. Rajchakit
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  2. R. Sriraman
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GR: Funding acquisition, conceptualization, formal analysis, methodology, writing-original draft, validation, writing-review and editing; GR and RS: Software; RS: Supervision. All authors have read and agreed to the published version of the manuscript.

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Correspondence to G. Rajchakit.

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Rajchakit, G., Sriraman, R. Robust Passivity and Stability Analysis of Uncertain Complex-Valued Impulsive Neural Networks with Time-Varying Delays. Neural Process Lett 53, 581–606 (2021). https://doi.org/10.1007/s11063-020-10401-w

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