Description
Input-to-State Stability for PDEs, 1st ed. 2019
Communications and Control Engineering Series
Authors: Karafyllis Iasson, Krstic Miroslav
Language: EnglishApproximative price 158.24 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Karafyllis Iasson, Krstic MiroslavPublication date: 01-2019
Support: Print on demand
158.24 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Karafyllis Iasson, Krstic MiroslavPublication date: 06-2018
Support: Print on demand
Description
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In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered:
- PDEs (of either class) with static maps;
- PDEs (again, of either class) with ODEs;
- PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and
- feedback loops of PDEs of different classes (parabolic with hyperbolic).
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.
Provides the reader with a unique study of input-to-state stability for partial differential equations
Offers the first systematic study of PDEs with non-local terms
Equips the reader for a large number of applications that are at the core of many scientific disciplines