Input-to-State Stability for PDEs

This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes-parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with...

Full description

Bibliographic Details
Main Authors: Karafyllis, Iasson (Author), Krstic, Miroslav (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2019.
Imprint: Springer,
Edition:1st ed. 2019.
Series:Communications and Control Engineering,
Subjects:
Control engineering.
Differential equations.
Telecommunication.
System theory.
Control theory.
Control and Systems Theory.
Differential Equations.
Communications Engineering, Networks.
Systems Theory, Control.
Online Access:Full-text access
Table of Contents:
  • Chapter 1. Preview
  • Part I: ISS for First-Order Hyperbolic PDEs
  • Chapter 2. Existence/Uniqueness Results for Hyperbolic PDEs
  • Chapter 3. ISS in Spatial Lp Norms
  • Part II. ISS for Parabolic PDEs
  • Chapter 4. Existence/Uniqueness Results for Parabolic PDEs
  • Chapter 5. ISS in Spatial L2 and H1 Norms
  • Chapter 6. ISS in Spatial Lp Norms
  • Part III. Small-Gain Analysis
  • Chapter 7. Fading Memory Input-to-State Stability
  • Chapter 8. PDE-ODE Loops
  • Chapter 9. Hyperbolic PDE-PDE Loops
  • Chapter 10. Parabolic PDE-PDE Loops
  • Chapter 11. Parabolic-Hyperbolic PDE-PDE Loops
  • Reference. .

Similar Items