Input-to-State Stability for PDEs

• Κύριοι συγγραφείς: Karafyllis, Iasson (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Krstic, Miroslav (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Communications and Control Engineering,
• Θέματα: Control engineering.; Partial differential equations.; Electrical engineering.; System theory.; Control and Systems Theory.; Partial Differential Equations.; Communications Engineering, Networks.; Systems Theory, Control.

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...

Πίνακας περιεχομένων:

• 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. .