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Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay

Author

Listed:
  • Yong He
  • Chuan-Ke Zhang
  • Hong-Bing Zeng
  • Min Wu

Abstract

This paper investigates the characteristics of the variable-augmented-based free-weighting matrices and studies their application to the stability analysis of the systems with time-varying delay. First, the higher-order terms of time-varying delay are avoided in estimating the derivative of the Lyapunov–Krasovskii functionals by introducing the variable-augmented-based free-weighting matrices such that an improved stability condition is obtained. Then, a general form of the variable-augmented-based free-weighting matrices is given and their common characteristics and additional functions are analysed. As a result, a basic criterion to remove the unnecessary free-weighting matrices is given to derive some results with less free-weighting matrices. Finally, a numerical example is given to show the effectiveness and merits of the presented method and analysis.

Suggested Citation

  • Yong He & Chuan-Ke Zhang & Hong-Bing Zeng & Min Wu, 2023. "Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(5), pages 991-1003, April.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:5:p:991-1003
    DOI: 10.1080/00207721.2022.2157198
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