Name: Control of Wave and Beam Pdes: The Riesz Basis Approach (Communications and Control Engineering) (en Inglés)
Price: 154.20 USD
Availability: InStock
Author: Bao-Zhu Guo; Jun-Min Wang
ISBN: 9783030124809

portada Control of Wave and Beam Pdes: The Riesz Basis Approach (Communications and Control Engineering) (en Inglés)

Control of Wave and Beam Pdes: The Riesz Basis Approach (Communications and Control Engineering) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Bao-Zhu Guo; Jun-Min Wang

Año

2019

Idioma

Inglés

N° páginas

596

Encuadernación

Tapa Dura

ISBN13

9783030124809

N° edición

Categorías

Cálculo diferencial y ecuaciones

Control of Wave and Beam Pdes: The Riesz Basis Approach (Communications and Control Engineering) (en Inglés)

Bao-Zhu Guo; Jun-Min Wang (Autor) · Springer · Tapa Dura

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Reseña del libro "Control of Wave and Beam Pdes: The Riesz Basis Approach (Communications and Control Engineering) (en Inglés)"

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.