Control of Wave and Beam PDEs

The Riesz Basis Approach

Nonfiction, Science & Nature, Mathematics, Differential Equations, Technology, Automation
Cover of the book Control of Wave and Beam PDEs by Bao-Zhu Guo, Jun-Min Wang, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bao-Zhu Guo, Jun-Min Wang ISBN: 9783030124816
Publisher: Springer International Publishing Publication: March 28, 2019
Imprint: Springer Language: English
Author: Bao-Zhu Guo, Jun-Min Wang
ISBN: 9783030124816
Publisher: Springer International Publishing
Publication: March 28, 2019
Imprint: Springer
Language: English

Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability.

Using the (fundamental) Riesz-basis property, the book shows how controllability, observability, stability, etc., can be derived for a linear system. The text provides a crash course in the mathematical theory of Riesz bases so that a reader can quickly understand this powerful method of dealing with linear PDEs. It introduces several important methods for achieving the Riesz basis property through spectral analysis, as well as new approaches including treatment of systems coupled through boundary weak connections.

The book moves from a discussion of mathematical preliminaries through bases in Hilbert Spaces to applications to Euler–Bernoulli and Rayleigh beam equations and hybrid systems. The final chapter expands the use of the book’s methods to applications in other systems.

Many typical examples, representing physical systems, are discussed in the text. The book is suitable not only for applied mathematicians seeking a powerful tool to understand control systems, but also for control engineers interested in the mathematics of PDE systems.

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

Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability.

Using the (fundamental) Riesz-basis property, the book shows how controllability, observability, stability, etc., can be derived for a linear system. The text provides a crash course in the mathematical theory of Riesz bases so that a reader can quickly understand this powerful method of dealing with linear PDEs. It introduces several important methods for achieving the Riesz basis property through spectral analysis, as well as new approaches including treatment of systems coupled through boundary weak connections.

The book moves from a discussion of mathematical preliminaries through bases in Hilbert Spaces to applications to Euler–Bernoulli and Rayleigh beam equations and hybrid systems. The final chapter expands the use of the book’s methods to applications in other systems.

Many typical examples, representing physical systems, are discussed in the text. The book is suitable not only for applied mathematicians seeking a powerful tool to understand control systems, but also for control engineers interested in the mathematics of PDE systems.

More books from Springer International Publishing

Cover of the book Brexit by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Brachytherapy by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Topics in Modal Analysis & Testing, Volume 10 by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Inflammatory Dermatopathology by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Polymer Nanoparticles for Nanomedicines by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Astronomy Adventures and Vacations by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Clinician's Guide to Mycosis Fungoides by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Multi-Agent Based Simulation XVIII by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Advances and Applications in Nonlinear Control Systems by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Introduction to Cyberdeception by Bao-Zhu Guo, Jun-Min Wang
Cover of the book HCI International 2019 - Posters by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Gamification by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Informatics in Economy by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Rethinking Entrepreneurial Human Capital by Bao-Zhu Guo, Jun-Min Wang
Cover of the book Representations of Loss in Irish Literature by Bao-Zhu Guo, Jun-Min Wang
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