Stability and Stabilization: An Introduction
3/5
()
About this ebook
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
Related to Stability and Stabilization
Related ebooks
Stability and Control of Aircraft Systems: Introduction to Classical Feedback Control Rating: 0 out of 5 stars0 ratingsRobust Control Design: An Optimal Control Approach Rating: 0 out of 5 stars0 ratingsLinear Dynamical Systems Rating: 0 out of 5 stars0 ratingsCoupled-Oscillator Based Active-Array Antennas Rating: 0 out of 5 stars0 ratingsControl and Optimal Control Theories with Applications Rating: 0 out of 5 stars0 ratingsAdaptive Control of Parabolic PDEs Rating: 0 out of 5 stars0 ratingsStochastic Models: Estimation and Control: v. 1 Rating: 3 out of 5 stars3/5Optimal Transport Methods in Economics Rating: 5 out of 5 stars5/5Applied Iterative Methods Rating: 0 out of 5 stars0 ratingsTheory and Application of Statistical Energy Analysis Rating: 0 out of 5 stars0 ratingsFeedback Systems: An Introduction for Scientists and Engineers, Second Edition Rating: 0 out of 5 stars0 ratingsLambda-Matrices and Vibrating Systems Rating: 3 out of 5 stars3/5Feedback Systems: Input-output Properties Rating: 0 out of 5 stars0 ratingsProbability Methods for Approximations in Stochastic Control and for Elliptic Equations Rating: 0 out of 5 stars0 ratingsQualitative Analysis of Large Scale Dynamical Systems Rating: 0 out of 5 stars0 ratingsMathematical methods in Nuclear reactor Dynamics Rating: 0 out of 5 stars0 ratingsPermutation Tests for Complex Data: Theory, Applications and Software Rating: 0 out of 5 stars0 ratingsExtensions of Linear-Quadratic Control, Optimization and Matrix Theory Rating: 0 out of 5 stars0 ratingsDynamic System Identification: Experiment Design and Data Analysis Rating: 0 out of 5 stars0 ratingsDifferential Equations: Classical to Controlled Rating: 0 out of 5 stars0 ratingsDecomposition of Multivariate Probabilities Rating: 0 out of 5 stars0 ratingsTopics in Stochastic Processes: Probability and Mathematical Statistics: A Series of Monographs and Textbooks Rating: 0 out of 5 stars0 ratingsRobust Optimization Rating: 5 out of 5 stars5/5Fluid Mechanics of the Atmosphere Rating: 5 out of 5 stars5/5Helicopter Test and Evaluation Rating: 0 out of 5 stars0 ratingsIterative Solution of Large Linear Systems Rating: 0 out of 5 stars0 ratingsStochastic Models: Estimation and Control: v. 2 Rating: 0 out of 5 stars0 ratingsIntroduction to Discrete Linear Controls: Theory and Application Rating: 0 out of 5 stars0 ratingsIntegral Equations and Stability of Feedback Systems Rating: 0 out of 5 stars0 ratingsMathematics for Stability and Optimization of Economic Systems Rating: 0 out of 5 stars0 ratings
Mathematics For You
Algebra - The Very Basics Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Geometry For Dummies Rating: 5 out of 5 stars5/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Basic Math & Pre-Algebra Workbook For Dummies with Online Practice Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Precalculus: A Self-Teaching Guide Rating: 4 out of 5 stars4/5Painless Algebra Rating: 0 out of 5 stars0 ratingsThe Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Calculus Essentials For Dummies Rating: 5 out of 5 stars5/5Mental Math: Tricks To Become A Human Calculator Rating: 5 out of 5 stars5/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsFlatland Rating: 4 out of 5 stars4/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5ACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5
Reviews for Stability and Stabilization
2 ratings0 reviews