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New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay

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Abstract

This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.

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Authors and Affiliations

  1. Institute of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, 412008, China

    Huichao Lin, Hongbing Zeng & Wei Wang

Authors
  1. Huichao Lin
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  2. Hongbing Zeng
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  3. Wei Wang
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Corresponding author

Correspondence to Hongbing Zeng.

Additional information

This research was supported by the National Natural Science Fund of China under Grant Nos. 61741308, 61703153, 61672225, and the Natural Science Fund of Hunan Province under Grant Nos. 2018JJ2096 and 2018JJ4075.

This paper was recommended for publication by Editor SUN Jian.

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Lin, H., Zeng, H. & Wang, W. New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay. J Syst Sci Complex 34, 632–641 (2021). https://doi.org/10.1007/s11424-020-9179-8

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  • DOI: https://doi.org/10.1007/s11424-020-9179-8

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