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Two effective stability criteria for linear time-delay systems with complex coefficients

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Abstract

This paper presents a method for directly analyzing the stability of complex-DDEs on the basis of stability switches. Two novel criteria are developed for the stability of a class of complex-DDEs. These results not only generalize some known results in literature but also greatly reduce the complexity of analysis and computation. To validate the effectiveness of the proposed criteria, the stabilization problem of the extended time delay auto-synchronization (ETDAS) control and n time delay auto-synchronization (NTDAS) control are then further investigated, respectively. The numerical simulations are consistent with the above theoretical analysis.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Junyu Li

  2. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, 316000, China

    Junyu Li

  3. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Li Zhang

  4. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Zaihua Wang

  5. Institute of Science, PLA University of Science and Technology, Nanjing, 211101, China

    Zaihua Wang

Authors
  1. Junyu Li
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  2. Li Zhang
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  3. Zaihua Wang
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Corresponding author

Correspondence to Junyu Li.

Additional information

This work was supported by National Science Foundation for Distinguished Young Scholars under Grant No. 10825207, and in part by Foundation for the Author of National Excellent Doctoral Dissertation of China under Grant No. 200430.

This paper was recommended for publication by Editor Jinhu LÜ.

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Li, J., Zhang, L. & Wang, Z. Two effective stability criteria for linear time-delay systems with complex coefficients. J Syst Sci Complex 24, 835–849 (2011). https://doi.org/10.1007/s11424-011-9252-4

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  • DOI: https://doi.org/10.1007/s11424-011-9252-4

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