Stability and Stabilization: An Introduction
Jan. 2009 · Princeton University Press
E-boek
480
Bladsye
family_home
Geskik
info
reportGraderings en resensies word nie geverifieer nie. Kom meer te wete
Meer oor hierdie e-boek
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.
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
Meer oor die skrywer
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.
Gradeer hierdie e-boek
Sê vir ons wat jy dink.
Lees inligting
Slimfone en tablette
Installeer die Google Play Boeke-app vir Android en iPad/iPhone. Dit sinkroniseer outomaties met jou rekening en maak dit vir jou moontlik om aanlyn of vanlyn te lees waar jy ook al is.
Skootrekenaars en rekenaars
Jy kan jou rekenaar se webblaaier gebruik om na oudioboeke wat jy op Google Play gekoop het, te luister.
E-lesers en ander toestelle
Om op e-inktoestelle soos Kobo-e-lesers te lees, moet jy ’n lêer aflaai en dit na jou toestel toe oordra. Volg die gedetailleerde hulpsentrumaanwysings om die lêers na ondersteunde e-lesers toe oor te dra.
