Lyapunov Matrix Equation in System Stability and Control

Lyapunov Matrix Equation in System Stability and Control

1st Edition - July 28, 1995

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  • Authors: Zoran Gajic, Muhammad Tahir Qureshi
  • eBook ISBN: 9780080535678

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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.

Key Features

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


Electrical, mechanical, and chemical engineers; applied mathematicians; graduate students.

Table of Contents

  • (Chapter Headings): Introduction. Continuous Algebraic Lyapunov Equation. Discrete Algebraic Lyapunov Equation. Differential and Difference Lyapunov Equation. Algebraic Lyapunov Equations with Small Parameters. Stability Robustness and Sensitivity of Lyapunov Equation. Iterative Methods and Parallel Algorithms. Lyapunov Iterations. Concluding Remarks. Appendix. Index.

Product details

  • No. of pages: 255
  • Language: English
  • Copyright: © Academic Press 1995
  • Published: July 28, 1995
  • Imprint: Academic Press
  • eBook ISBN: 9780080535678

About the Authors

Zoran Gajic

Affiliations and Expertise

Rutgers University

Muhammad Tahir Qureshi

Affiliations and Expertise

Water and Power Development Authority

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