Stability and Stabilization: An Introduction

Name: Stability and Stabilization: An Introduction
Brand: Princeton University Press
SKU: 9780691134444
Price: 12327.0 INR
Availability: InStock

by William J. Terrell

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ISBN13: 9780691134444
Binding: Hardcover
Subject: N/A
Publisher: Princeton University Press
Publisher Imprint: Princeton University Press
Publication Date: February 15, 2009
Pages: 480
Original Price: USD 132.0
Language: English
Edition: N/A
Item Weight: 976 grams
BISAC Subject(s): Differential Equations / General

About The Book

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Designed for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, the book takes a unique modern approach that bridges the gap between linear and nonlinear systems.

Presenting stability and stabilization of equilibria as a core problem of mathematical control theory, the book emphasizes the subject's mathematical coherence and unity, and it introduces and develops many of the core concepts of systems and control theory. There are five chapters on linear systems and nine chapters on nonlinear systems; an introductory chapter; a mathematical background chapter; a short final chapter on further reading; and appendixes on basic analysis, ordinary differential equations, manifolds and the Frobenius theorem, and comparison functions and their use in differential equations. The introduction to linear system theory presents the full framework of basic state-space theory, providing just enough detail to prepare students for the material on nonlinear systems.

Focuses on stability and feedback stabilization

Bridges the gap between linear and nonlinear systems for advanced undergraduates and beginning graduate students

Balances coverage of linear and nonlinear systems

Covers cascade systems

Includes many examples and exercises

About The Author

William J. Terrell is associate professor of mathematics and applied mathematics at Virginia Commonwealth University. In 2000, he received a Lester R. Ford Award for excellence in expository writing from the Mathematical Association of America.

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