Input-to-State Stability for PDEs

Karafyllis, Iasson; Krstic, Miroslav

doi:10.1007/978-1-4471-5102-9_100024-1

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

Electrical and Computer Engineering, Boston University, Boston, MA, USA
John Baillieul
Automation and Control Solutions, Honeywell, Golden Valley, MN, USA
Tariq Samad

Section Editor information

Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, CA, USA
Miroslav Krstic

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Karafyllis, I., Krstic, M. (2020). Input-to-State Stability for PDEs. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_100024-1

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DOI: https://doi.org/10.1007/978-1-4471-5102-9_100024-1
Published: 21 November 2019
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5102-9
Online ISBN: 978-1-4471-5102-9
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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