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Lyapunov Matrix Equation in System Stability and Control

  • 1st Edition, Volume 195 - July 28, 1995
  • Latest edition
  • Authors: Zoran Gajic, Muhammad Tahir Javed Qureshi
  • Language: English

The Lyapunov and Riccati equations are two of the fundamental equations of control and system theory, having special relevance for system identification, optimization, boundary… Read more

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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.

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

Readership

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

  • Edition: 1
  • Latest edition
  • Volume: 195
  • Published: July 28, 1995
  • Language: English

About the authors

ZG

Zoran Gajic

Affiliations and expertise
Rutgers University

MQ

Muhammad Tahir Javed Qureshi

Affiliations and expertise
Water and Power Development Authority

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