Cover image for Linear system theory and design
Title:
Linear system theory and design
Personal Author:
Publication Information:
New York : Holt, Rinehart and Winston, 1970
ISBN:
9780030602894

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
Searching...
30000000211148 QA402.C43 1970 Open Access Book Book
Searching...
Searching...
30000000856850 QA402.C43 1970 Open Access Book Book
Searching...

On Order

Summary

Summary

With the advancement of technology, engineers need the systems they design not only to work, but to be the absolute best possible given the requirements and available tools. In this environment, an understanding of a system's limitations acquires added importance. Without such knowledge, one might unknowingly attempt to design an impossible system. Thus, a thorough investigation of all of a system's properties is essential. In fact, many design procedures have evolved from such investigations. For use at the senior-graduate level in courses on linear systems and multivariable system design, this highly successful text is devoted to this study and the design procedures developed thereof. It is not a control text, per se--since it does not cover performance criteria, physical constraints, cost, optimization, and sensitivity problems. Chen develops major results and design procedures using simple and efficient methods. Thus, the presentation is not exhaustive; only those concepts which are essential in the development are introduced. Problem sets--following each chapter--help students understand and utilize the concepts and results covered.


Table of Contents

1 Introduction
2 Linear Spaces and Linear Operators
3 Mathematical Descriptions of Systems
4 Linear Dynamical Equations and Impulse-Response Matrices
5 Controllability and Observability of Linear Dynamical Equations
6 Irreducible Realizations, Strict System Equivalence, and Identification
7 State Feedback and State Estimators
8 Stability of Linear Systems
9 Linear-Time Invariant Composite Systems: Characterization, Stability, and Designs
Appendix A Elementary Transformations
Appendix B Analytic Functions of a Real Variable
Appendix C Minimum Energy Control
Appendix D Controllability after the Introduction of Sampling
Appendix E Hermitian Forms and Singular Value Decomposition
Appendix F On the Matrix Equation AM + MB = N
Appendix G Polynomials and Polynomial Matrices
Appendix H Poles and Zeros
References
Index