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Improved stability criteria for uncertain linear systems with interval time-varying delay

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Abstract

This paper deals with the robust stability analysis of dynamic systems with interval timevarying delay and uncertainties. The innovation of the method includes employment of a tighter integral inequality and construction of an appropriate type of Lyapunov functional. The stability criteria derived from this method have less conservatism than some existing ones. Numerical examples are given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. College of Mechatronic Engineering and Automation, Shanghai University, Shanghai Key Laboratory of Power Station Automation Technology, Shanghai, 200072, China

    Min Zheng, Wei Xiao & Qinghai Chen

Authors
  1. Min Zheng
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  2. Wei Xiao
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  3. Qinghai Chen
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Corresponding author

Correspondence to Min Zheng.

Additional information

This research was supported by National Nature Science Foundation of China under Grant Nos. 60174032, 61004019, the Key Project of Science & Technology Commission of Shanghai under Grant No. 10JC140500.

This paper was recommended for publication by Editor TIAN Yuping.

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Zheng, M., Xiao, W. & Chen, Q. Improved stability criteria for uncertain linear systems with interval time-varying delay. J Syst Sci Complex 26, 175–186 (2013). https://doi.org/10.1007/s11424-013-1171-0

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  • DOI: https://doi.org/10.1007/s11424-013-1171-0

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