Stabilizing Dynamics

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Stabilizing Dynamics

Author: E. Roy Weintraub
language: en
Publisher: Cambridge University Press
Release Date: 1991-04-26
This work is concerned with the ways in which the talk of the 1930s evolved into technical analysis of some mathematical structures. It describes the context for the history of that change and shows how the history of modern economics can be seen as a confluence of several disparate traditions.
Stability and Stabilization

Author: William J. Terrell
language: en
Publisher: Princeton University Press
Release Date: 2009-01-26
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
Rehabilitation in the dynamic stabilization of the lumbosacral spine

Author: G. Calvosa
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-09-28
This publication describes the indications and the various phases of technical rehabilitation to be used after surgical treatment of lumbar degenerative spine. A work of fundamental importance, it will benefit those interested in this area of orthopaedics.