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Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays

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Abstract

This paper considers the stability problem for discrete-time systems with interval time-varying delays. By construction of a suitable Lyapunov–Krasovskii (L–K) functional and utilization of Finsler’s lemma, novel delay-dependent criteria for asymptotic stability of the systems are established in terms of linear matrix inequalities (LMIs) which can easily be solved by various effective optimization algorithms. Three numerical examples are given to illustrate the effectiveness of the proposed method.

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Acknowledgements

This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2012-0000479), and by a grant of the Korea Healthcare Technology R & D Project, Ministry of Health & Welfare, Republic of Korea (A100054).

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Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju, 361-763, Republic of Korea

    O. M. Kwon & M. J. Park

  2. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-Dong, Kyongsan, 712-749, Republic of Korea

    Ju H. Park

  3. School of Electronic Engineering, Daegu University, Gyungsan, 712-714, Republic of Korea

    S. M. Lee

  4. Department of Biomedical Engineering, School of Medicine, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju, 361-763, Republic of Korea

    E. J. Cha

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  1. O. M. Kwon
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  2. M. J. Park
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  3. Ju H. Park
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  4. S. M. Lee
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Correspondence to Ju H. Park.

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Kwon, O.M., Park, M.J., Park, J.H. et al. Improved Delay-Dependent Stability Criteria for Discrete-Time Systems with Time-Varying Delays. Circuits Syst Signal Process 32, 1949–1962 (2013). https://doi.org/10.1007/s00034-012-9543-6

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  • DOI: https://doi.org/10.1007/s00034-012-9543-6

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