Input-to-State Stability for PDEs

preview-18
  • Input-to-State Stability for PDEs Book Detail

  • Author : Iasson Karafyllis
  • Release Date : 2018-06-07
  • Publisher : Springer
  • Genre : Technology & Engineering
  • Pages : 296
  • ISBN 13 : 3319910116
  • File Size : 6,6 MB

Input-to-State Stability for PDEs by Iasson Karafyllis PDF Summary

Book 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.

Disclaimer: www.yourbookbest.com does not own Input-to-State Stability for PDEs books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Input-to-State Stability for PDEs

Input-to-State Stability for PDEs

File Size : 48,48 MB
Total View : 2911 Views
DOWNLOAD

This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic

Hybrid Dynamical Systems

Hybrid Dynamical Systems

File Size : 90,90 MB
Total View : 9991 Views
DOWNLOAD

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wea

Mathematical Control Theory

Mathematical Control Theory

File Size : 12,12 MB
Total View : 1953 Views
DOWNLOAD

Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engine

Encyclopedia of Systems and Control

Encyclopedia of Systems and Control

File Size : 84,84 MB
Total View : 2527 Views
DOWNLOAD

The Encyclopedia of Systems and Control collects a broad range of short expository articles that describe the current state of the art in the central topics of

Nonlinear and Optimal Control Theory

Nonlinear and Optimal Control Theory

File Size : 62,62 MB
Total View : 8960 Views
DOWNLOAD

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theor