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Some Recent Results on Direct Delay-Dependent Stability Analysis: Review and Open Problems

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Cybernetics and Algorithms in Intelligent Systems (CSOC2018 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 765))

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Abstract

This contribution focuses an overview of selected results on time-delay systems stability analysis in the delay space, recently published in outstanding high-impacted journals and top conferences and meetings. A numerical gridding algorithm solving this problem designed by the first author is included as well. The theoretical background and a concise literature overview are followed by the list of practical and software applications. Unsolved tasks and open problems stemming from the analysis of presented methods and results concisely conclude the paper. The reader is supposed to use this survey to follow some of the presented techniques in his/her own research or engineering practice.

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Acknowledgments

This work was performed with the financial support by the Minis-try of Education, Youth and Sports of the Czech Republic within the National Sustain-ability Programme project No. LO1303 (MSMT-7778/2014).

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Authors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi 4511, 76005, Zlín, Czech Republic

    Libor Pekař, Pavel Navrátil & Radek Matušů

Authors
  1. Libor Pekař
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  2. Pavel Navrátil
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  3. Radek Matušů
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Correspondence to Libor Pekař .

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Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Radek Silhavy

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Pekař, L., Navrátil, P., Matušů, R. (2019). Some Recent Results on Direct Delay-Dependent Stability Analysis: Review and Open Problems. In: Silhavy, R. (eds) Cybernetics and Algorithms in Intelligent Systems . CSOC2018 2018. Advances in Intelligent Systems and Computing, vol 765. Springer, Cham. https://doi.org/10.1007/978-3-319-91192-2_3

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