Input-to-State Stability for PDEs

Karafyllis, Iasson; Krstic, Miroslav

doi:10.1007/978-3-030-44184-5_100024

Iasson Karafyllis³ &
Miroslav Krstic⁴

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Abstract

This chapter reviews the challenges for the extension of the Input-to-State Stability (ISS) property for systems described by Partial Differential Equations (PDEs). The methodologies that have been used in the literature for the derivation of ISS estimates, are presented. Examples are also provided and possible directions of future research on ISS for PDEs are given.

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Bibliography

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Authors and Affiliations

Department of Mathematics, National Technical University of Athens, Athens, Greece
Iasson Karafyllis
Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA
Miroslav Krstic

Authors

Iasson Karafyllis
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Miroslav Krstic
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Correspondence to Iasson Karafyllis .

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Editors and Affiliations

College of Engineering, Boston University, Boston, MA, USA
John Baillieul
Technological Leadership Institute, University of Minnesota, Minneapolis, MA, USA
Tariq Samad

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Karafyllis, I., Krstic, M. (2021). Input-to-State Stability for PDEs. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_100024

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DOI: https://doi.org/10.1007/978-3-030-44184-5_100024
Published: 04 August 2021
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-44183-8
Online ISBN: 978-3-030-44184-5
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