•  Retrait gratuit dans votre magasin Club
  •  7.000.000 titres dans notre catalogue
  •  Payer en toute sécurité
  •  Toujours un magasin près de chez vous     
  •  Retrait gratuit dans votre magasin Club
  •  7.000.000 titres dans notre catalogue
  •  Payer en toute sécurité
  •  Toujours un magasin près de chez vous

Input-To-State Stability for Pdes

Iasson Karafyllis, Miroslav Krstic
Livre relié | Anglais | Communications and Control Engineering
158,45 €
+ 316 points
Format
Livraison sous 1 à 4 semaines
Passer une commande en un clic
Payer en toute sécurité
Livraison en Belgique: 3,99 €
Livraison en magasin gratuite

Description

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 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).

In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including--for PDEs that include non-local terms--backstepping control designs which result in non-local boundary conditions.

Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.

Spécifications

Parties prenantes

Auteur(s) :
Editeur:

Contenu

Nombre de pages :
287
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9783319910109
Date de parution :
27-06-18
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
163 mm x 243 mm
Poids :
653 g

Les avis