Input-to-State Stability for PDEs

Nonfiction, Science & Nature, Mathematics, Differential Equations, Technology, Automation
Cover of the book Input-to-State Stability for PDEs by Iasson Karafyllis, Miroslav Krstic, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Iasson Karafyllis, Miroslav Krstic ISBN: 9783319910116
Publisher: Springer International Publishing Publication: June 7, 2018
Imprint: Springer Language: English
Author: Iasson Karafyllis, Miroslav Krstic
ISBN: 9783319910116
Publisher: Springer International Publishing
Publication: June 7, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

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.

More books from Springer International Publishing

Cover of the book Magnetic Resonance Spectroscopy of Degenerative Brain Diseases by Iasson Karafyllis, Miroslav Krstic
Cover of the book Materializing the Web of Linked Data by Iasson Karafyllis, Miroslav Krstic
Cover of the book Alternative Routes to Oil Structuring by Iasson Karafyllis, Miroslav Krstic
Cover of the book Landscapes and Landforms of Colombia by Iasson Karafyllis, Miroslav Krstic
Cover of the book Equations of Motion in Relativistic Gravity by Iasson Karafyllis, Miroslav Krstic
Cover of the book Problem-based Behavioral Science and Psychiatry by Iasson Karafyllis, Miroslav Krstic
Cover of the book Children’s Voices from the Past by Iasson Karafyllis, Miroslav Krstic
Cover of the book Theory and Applications of Models of Computation by Iasson Karafyllis, Miroslav Krstic
Cover of the book Baryonic Processes in the Large-Scale Structuring of the Universe by Iasson Karafyllis, Miroslav Krstic
Cover of the book Investing in Information by Iasson Karafyllis, Miroslav Krstic
Cover of the book Security, Privacy, and Anonymity in Computation, Communication, and Storage by Iasson Karafyllis, Miroslav Krstic
Cover of the book Elite Techniques in Shoulder Arthroscopy by Iasson Karafyllis, Miroslav Krstic
Cover of the book Uber by Iasson Karafyllis, Miroslav Krstic
Cover of the book Image and Signal Processing by Iasson Karafyllis, Miroslav Krstic
Cover of the book Perspectives in Computational Complexity by Iasson Karafyllis, Miroslav Krstic
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy