Algebras of Holomorphic Functions and Control Theory (eBook)

Amol Sasane (Autor)

eBook Download: EPUB

2013
160 Seiten
Dover Publications (Verlag)
978-0-486-15331-5 (ISBN)

Infos

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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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.

Produkt-Details

• Erscheint lt. Verlag: 10.4.2013
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Control Theory • Electrical Engineering • Holomorphic Functions • linear control systems
• ISBN-10: 0-486-15331-2 / 0486153312
• ISBN-13: 978-0-486-15331-5 / 9780486153315