Lyapunov Matrix Equation in System Stability and Control :Mathematics in Science and Engineering V195 ( Volume 195 )

Publication subTitle :Mathematics in Science and Engineering V195

Publication series :Volume 195

Author: Gajic   Zoran;Qureshi   Muhammad Tahir Javed  

Publisher: Elsevier Science‎

Publication year: 1995

E-ISBN: 9780080535678

P-ISBN(Paperback): 9780122733703

P-ISBN(Hardback):  9780122733703

Subject: O231 Cybernetics of cybernetics theory (mathematics)

Language: ENG

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Description

The Lyapunov and Riccati equations are two of the fundamental equations of control and system theory, having special relevance for system identification, optimization, boundary value problems, power systems, signal processing, and communications.
The Lyapunov Matrix Equation in System Stability and Control covers mathematical developments and applications while providing quick and easy references for solutions to engineering and mathematical problems. Examples of real-world systems are given throughout the text in order to demonstrate the effectiveness of the presented methods and algorithms.
The book will appeal to practicing engineers, theoreticians, applied mathematicians, and graduate students who seek a comprehensive view of the main results of the Lyapunov matrix equation.

Presents techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems
Offers summaries and references at the end of each chapter
Contains examples of the use of the equation to solve real-world problems
Provides quick and easy references for the solutions to engineering and mathematical problems using the Lyapunov equation

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Contents

pp.:  8 – 12

Preface

pp.:  12 – 14

Chapter 1. Introduction

pp.:  14 – 34

Chapter 2. Continuous Algebraic Lyapunov Equation

pp.:  34 – 92

Chapter 3. Discrete Algebraic Lyapunov Equation

pp.:  92 – 120

Chapter 4. Differential and Difference Lyapunov Equations

pp.:  120 – 146

Chapter 5. Algebraic Lyapunov Equations with Small Parameters

pp.:  146 – 168

Chapter 6. Stability Robustness and Sensitivity of Lyapunov Equation

pp.:  168 – 182

Chapter 7. Iterative Methods and Parallel Algorithms

pp.:  182 – 202

Chapter 8. Lyapunov Iterations

pp.:  202 – 236

Chapter 9. Concluding Remarks

pp.:  236 – 256

Appendix

pp.:  256 – 264

Index

pp.:  264 – 272

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