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Control of Wave and Beam PDEs - The Riesz Basis Approach (Paperback, 1st ed. 2019)
Loot Price: R4,585
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Control of Wave and Beam PDEs - The Riesz Basis Approach (Paperback, 1st ed. 2019)
Series: Communications and Control Engineering
Expected to ship within 10 - 15 working days
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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.
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