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Lyapunov Matrix Equation in System Stability and Control
     

Lyapunov Matrix Equation in System Stability and Control

by Zoran Gajic, Muhammad Tahir Javed Qureshi
 

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This book provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation. Geared toward an audience of engineers, applied mathematicians, computer scientists, and graduate students, it explores issues of mathematical development and applications, making it equally practical for problem solving and research. Its

Overview


This book provides solutions to many engineering and mathematical problems related to the Lyapunov matrix equation. Geared toward an audience of engineers, applied mathematicians, computer scientists, and graduate students, it explores issues of mathematical development and applications, making it equally practical for problem solving and research. Its comprehensive treatment features self-contained chapters for quick and precise reference.
The authors offer a wide variety of techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. The matrix equations are considered in terms of three main categories: explicit solutions; approximate solutions characterized by different bounds, such as eigenvalue bounds, trace bounds, determinant bounds, and solution bounds; and numerical solutions suitable for computer calculations. Numerous examples of real-world systems appear throughout, illustrating the effectiveness of cited methods and algorithms.

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Booknews
Presents different techniques for solving and analyzing the algebraic, differential, and difference Lyapunov matrix equations of continuous-time and discrete-time systems. The mathematical development and the applications considered provide a quick and easy reference for solving many engineering and mathematical problems related to the equations. With few exceptions focuses on the pure Lyapunov equation rather than similar equations, and includes those corresponding to the jump parameter linear systems and singularly perturbed and weakly coupled systems. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9780486466682
Publisher:
Dover Publications
Publication date:
05/19/2008
Series:
Dover Civil and Mechanical Engineering Series
Pages:
272
Product dimensions:
5.30(w) x 8.40(h) x 0.50(d)

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