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Algebras of Holomorphic Functions and Control Theory

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Algebras of Holomorphic Functions and Control Theory Cover

 

Synopses & Reviews

Publisher Comments:

This accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the solution of an important engineering problem: the stabilization of a linear control system. Its concise and self-contained treatment avoids the use of higher mathematics and forms a bridge to more advanced treatments.

The treatment consists of two components: the algebraic framework, which serves as the abstract language for posing and solving the problem of stabilization; and the analysis component, which examines properties of specific rings of holomorphic functions. Elementary, self-contained, and constructive proofs elucidate the explorations of rings of holomorphic functions relevant in control theory. Introductory chapters on control theory and stable transfer functions are followed by surveys of unstable plants and the stabilization problem and its solution. The text concludes with suggestions for further reading and a bibliography. 

Synopsis:

Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Synopsis:

Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Product Details

ISBN:
9780486474656
Author:
Sasane, Amol
Publisher:
Dover Publications
Author:
Sasane, A.
Author:
Mathematics
Subject:
Control theory
Subject:
Holomorphic functions.
Subject:
Algebra - General
Subject:
Calculus
Subject:
Linear control systems
Subject:
Mathematics - Algebra
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20090831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
160
Dimensions:
8.5 x 5.38 in 0.4 lb

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Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Complex Analysis

Algebras of Holomorphic Functions and Control Theory New Trade Paper
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Product details 160 pages Dover Publications - English 9780486474656 Reviews:
"Synopsis" by ,
Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
"Synopsis" by ,
Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

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