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Stability criteria for linear systems with multiple time-varying delays

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Abstract

New delay-independent and delay-dependent stability criteria for linear systems with multiple time-varying delays are established by using the time-domain method. The results are derived based on a new-type stability theorem for general retarded dynamical systems and new analysis techniques developed in the author's previous work. Unlike some results in the literature, all of the established results do not depend on the derivative of time-varying delays. Therefore, they are suitable for the case with very fast time-varying delays. In addition, some remarks are also given to explain the obtained results and to point out the limitations of the previous results in the literature.

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Authors and Affiliations

  1. Laboratory of Real-Time Control Through Internet and Fieldbuses, College of Automation Science and Engineering, South China University of Technology, 510640, Guangzhou Guangdong, China

    Bugong Xu

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  1. Bugong Xu
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Additional information

This work was supported by NSFC Key-Project (No. 60334010) and Guangdong Province Natural Science Foundation of China (No. 31406).

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Xu, B. Stability criteria for linear systems with multiple time-varying delays. J. Control Theory Appl. 1, 65–69 (2003). https://doi.org/10.1007/s11768-003-0010-6

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  • DOI: https://doi.org/10.1007/s11768-003-0010-6

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