Encyclopedia of Systems and Control

Living Edition
| Editors: John Baillieul, Tariq Samad

Input-to-State Stability for PDEs

  • Iasson KarafyllisEmail author
  • Miroslav Krstic
Living reference work entry
DOI: https://doi.org/10.1007/978-1-4471-5102-9_100024-1

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.

Keywords

Input-to-State Stability Partial Differential Equations Infinite-Dimensional Systems 
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Bibliography

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Copyright information

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

Authors and Affiliations

  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece
  2. 2.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaSan Diego, La JollaUSA

Section editors and affiliations

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