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New LMI Criteria to the Global Asymptotic Stability of Uncertain Discrete-Time Systems with Time Delay and Generalized Overflow Nonlinearities

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Advances in VLSI, Communication, and Signal Processing

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 587))

Abstract

This paper investigates the problem of stability analysis of discrete-time systems under the effect of generalized overflow nonlinearities, parameter uncertainties, and time delay. The systems under assumption involve norm-bounded parameter uncertainties. Two stability criteria based on Linear Matrix Inequality (LMI) approach are presented. The usefulness of the presented criteria is numerically proved.

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Acknowledgements

The corresponding author wishes to thank the TEQIP-III grant, MNNIT Allahabad for providing scholarship to pursue his research work. The authors of the paper wish to thank the reviewers for their comments and suggestions.

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, 211004, India

    Pushpendra Kumar Gupta & V. Krishna Rao Kandanvli

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  1. Pushpendra Kumar Gupta
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  2. V. Krishna Rao Kandanvli
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Correspondence to Pushpendra Kumar Gupta .

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Editors and Affiliations

  1. Ministry of Electronics and Information Technology, New Delhi, Delhi, India

    Debashis Dutta

  2. Motilal Nehru National Institute of Technology Allahabad, Allahabad, Uttar Pradesh, India

    Haranath Kar

  3. Indian Institute of Technology (ISM), Dhanbad, Jharkhand, India

    Chiranjeev Kumar

  4. Motilal Nehru National Institute of Technology Allahabad, Allahabad, Uttar Pradesh, India

    Vijaya Bhadauria

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Gupta, P.K., Kandanvli, V.K.R. (2020). New LMI Criteria to the Global Asymptotic Stability of Uncertain Discrete-Time Systems with Time Delay and Generalized Overflow Nonlinearities. In: Dutta, D., Kar, H., Kumar, C., Bhadauria, V. (eds) Advances in VLSI, Communication, and Signal Processing. Lecture Notes in Electrical Engineering, vol 587. Springer, Singapore. https://doi.org/10.1007/978-981-32-9775-3_79

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  • DOI: https://doi.org/10.1007/978-981-32-9775-3_79

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  • Online ISBN: 978-981-32-9775-3

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