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Linear State Feedback

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Encyclopedia of Systems and Control

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Abstract

Feedback is a fundamental mechanism in nature and central in the control of systems. The state of a system contains important information about the system; hence feeding back the state is a powerful control policy. To illustrate the effect of feedback in linear systems, continuous- and discrete-time state-variable descriptions are used: these allow the resulting closed-loop descriptions to be explicitly written and the effect of feedback on the eigenvalues of the closed-loop system to be studied. The eigenvalue assignment problem is also discussed.

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Bibliography

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA

    Panos J. Antsaklis

  2. Department of Electrical and Electronic Engineering, Imperial College London, London, UK

    Alessandro Astolfi

  3. Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università di Roma Tor Vergata, Rome, Italy

    Alessandro Astolfi

Authors
  1. Panos J. Antsaklis
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  2. Alessandro Astolfi
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Corresponding author

Correspondence to Panos J. Antsaklis .

Editor information

Editors and Affiliations

  1. College of Engineering, Boston University, Boston, MA, USA

    John Baillieul

  2. Technological Leadership Institute, University of Minnesota, Minneapolis, MA, USA

    Tariq Samad

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Antsaklis, P.J., Astolfi, A. (2021). Linear State Feedback. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_196

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