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      • Department of Electrical and Electronics Engineering
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      Dwell time-based stabilisation of switched linear delay systems using clock-dependent Lyapunov-Krasovskii functionals

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      Author(s)
      Koru, A. T.
      Delibaşı, A.
      Özbay, Hitay
      Date
      2018
      Source Title
      International Journal of Control
      Print ISSN
      0020-7179
      Publisher
      Taylor and Francis
      Volume
      93
      Issue
      5
      Pages
      1172 - 1179
      Language
      English
      Type
      Article
      Item Usage Stats
      200
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      546
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      Abstract
      Dwell time stability conditions of the switched delay systems are derived using multiple clock-dependent Lyapunov-Krasovskii functionals. The corresponding conditions are approximated by both using piecewise linear functions and sum of squares polynomials. The upper bound of the dwell time is minimised using a combination of a bisection and a golden section search algorithm. Using the results obtained in the stability case, synthesis of dwell time minimiser controllers are presented. Some numerical examples are given to illustrate effectiveness of the proposed method, and its performance is compared with the existing approaches. The resulting values of the dwell time via the proposed technique show that the novel approach outperforms the previous ones.
      Keywords
      Clock-dependent Lyapunov
      Dwell time optimisation
      SOS polynomials
      Switched systems
      Time delay
      Permalink
      http://hdl.handle.net/11693/50065
      Published Version (Please cite this version)
      https://doi.org/10.1080/00207179.2018.1500036
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      • Department of Electrical and Electronics Engineering 4016
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