Stability and Stabilization: An Introduction - Couverture rigide

Terrell, William J.

 
9780691134444: Stability and Stabilization: An Introduction
Couverture rigide
ISBN 10 : 0691134448 ISBN 13 : 9780691134444
Editeur : Princeton University Press, 2009

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
2009
Langue
anglais
ISBN 10 
0691134448
ISBN 13 
9780691134444
Reliure
Relié
Nombre de pages
480
Coordonnées du fabricant
non disponible
Personne responsable
non disponible