Linear System Theory and Design / Edition 4

by Chi-Tsong Chen

Overview

Striking a balance between theory and applications, Linear System Theory and Design, Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ.

Ideal for advanced undergraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers.

SUPPLEMENTS

Companion website at www.oup.com/us/chen contains PowerPoint-based versions of the figures from the text (available to adopters of the text)

An Instructor's Solutions Manual is available to adopters

Product Details

ISBN-13:	9780199959570
Publisher:	Oxford University Press
Publication date:	11/14/2012
Series:	The Oxford Series in Electrical and Computer Engineering
Edition description:	New Edition
Pages:	400
Product dimensions:	7.50(w) x 9.30(h) x 1.00(d)

About the Author

Chi-Tsong Chen is Professor Emeritus of Electrical and Computer Engineering at Stony Brook University, New York.

Table of Contents

Preface1. bIntroduction/b1.1. Introduction1.2. Overview2. bMathematical Descriptions of Systems/b2.1. Introduction2.2. Causality, Lumpedness, and Time-Invariance2.3. Linear Time-Invariant (LTI) Systems2.4. Linear Time-Varying Systems2.5. RLC circuits—Comparisons of Various Descriptions2.6. Mechanical and Hydraulic Systems2.7. Proper Rational Transfer Functions2.8. Discrete-Time Linear Time-Invariant Systems2.9. Concluding Remarks3. bLinear Algebra/b3.1. Introduction3.2. Basis, Representation, and Orthonormalization3.3. Linear Algebraic Equations3.4. Similarity Transformation3.5. Diagonal Form and Jordan Form3.6. Functions of a Square Matrix3.7. Lyapunov Equation3.8. Some Useful Formula3.9. Quadratic Form and Positive Definiteness3.10. Singular Value Decomposition3.11. Norms of Matrices4. bState-Space Solutions and Realizations/b4.1. Introduction4.2. General Solution of CT LTI State-Space Equations4.3. Computer Computation of CT State-Space Equations4.4. Equivalent State Equations4.5. Realizations4.6. Solution of Linear Time-Varying (LTV) Equations4.7. Equivalent Time-Varying Equations4.8. Time-Varying Realizations5. bStability/b5.1. Introduction5.2. Input-Output Stability of LTI Systems5.3. Discrete-Time Case5.4. Internal Stability5.5. Lyapunov Theorem5.6. Stability of LTV Systems6. bControllability and Observability/b6.1. Introduction6.2. Controllability6.3. Observability6.4. Canonical Decomposition6.5. Conditions in Jordan-Form Equations6.6. Discrete-Time State-Space Equations6.7. Controllability After Sampling6.8. LTV State-Space Equations7. bMinimal Realizations and Coprime Fractions/b7.1. Introduction7.2. Implications of Coprimeness7.3. Computing Coprime Fractions7.4. Balanced Realization7.5. Realizations from Markov Parameters7.6. Degree of Transfer Matrices7.7. Minimal Realizations- Matrix Case7.8. Matrix Polynomial Fractions7.9. Realization from Matrix Coprime Fractions7.10. Realizations from Matrix Markov Parameters7.11. Concluding Remarks8. bState Feedback and State Estimators/b8.1. Introduction8.2. State Feedback8.3. Regulation and Tracking8.4. State Estimator8.5. Feedback from Estimated States8.6. State feedback—MIMO case8.7. State Estimators—MIMO case8.8. Feedback from Estimated States—MIMO Case9. bPole Placement and Model Matching/b9.1. Introduction9.2. Preliminary—Matching Coefficients9.3. Unity-Feedback Configuration-Pole Placement9.4. Implementable Transfer Functions9.5. MIMO Unity Feedback Systems9.6. MIMO Model Matching—Two-Parameter Configuration9.7. Concluding RemarksReferencesAnswers to Selected ProblemsIndex

Editorial Reviews

"This book offers a superior and accessible presentation of theory."—Oscar González, Old Dominion University

"Chen has an excellent writing style. His book is concise, brief, and to the point. It is very informative and engaging. Simply perfect for an engineering textbook."—Amr M. Baz, University of Maryland, College Park

"Linear System Theory and Design provides the definitive version of how to present this material."—Douglas K. Lindner, Virginia Polytechnic Institute and State University

From the Publisher