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Stability of impulsive linear hybrid systems with time delay

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Abstract

This paper investigates the stability of impulsive linear hybrid systems with time delay. And a number of delay-independent/delay-dependent stability criteria are obtained by using Lyapunov functions or Lyapunov functionals. Two examples are also presented to illustrate the effectiveness of the obtained results or to compare with the existing results.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, 200092, China

    Yu Zhang & Jitao Sun

Authors
  1. Yu Zhang
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  2. Jitao Sun
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Corresponding author

Correspondence to Yu Zhang.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant Nos. 10926114, 60874027, 60904027, and the “Chen Guang” project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation.

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Zhang, Y., Sun, J. Stability of impulsive linear hybrid systems with time delay. J Syst Sci Complex 23, 738–747 (2010). https://doi.org/10.1007/s11424-010-8039-3

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  • DOI: https://doi.org/10.1007/s11424-010-8039-3

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