Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Control of Linear Systems with Delays

  • Wim MichielsEmail author
Living reference work entry

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DOI: https://doi.org/10.1007/978-1-4471-5102-9_16-3


The presence of time delays in dynamical systems may induce complex behavior, and this behavior is not always intuitive. Even if a system’s equation is scalar, oscillations may occur. Time delays in control loops are usually associated with degradation of performance and robustness, but, at the same time, there are situations where time delays are used as controller parameters.


Delay differential equations; Delays as controller parameters; Functional differential equation 
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The author received funding from the project C14/17/072 of the KU Leuven Research Council, the project G0A5317N of the Research Foundation-Flanders (FWO - Vlaanderen), and from the project UCoCoS, funded by the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No 675080.


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© Springer-Verlag London Ltd., part of Springer Nature 2020

Authors and Affiliations

  1. 1.Numerical Analysis and Applied Mathematics SectionKU LeuvenLeuven (Heverlee)Belgium

Section editors and affiliations

  • Miroslav Krstic
    • 1
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaSan Diego, La JollaUSA