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Lyapunov Matrix Equation in System Stability and Control (Dover Books on Engineering) (Paperback)

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Description


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.


Product Details
ISBN: 9780486466682
ISBN-10: 048646668X
Publisher: Dover Publications
Publication Date: May 19th, 2008
Pages: 255
Language: English
Series: Dover Books on Engineering