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Lyapunov Matrix Equation in System Stability and Control (Dover Civil and Mechanical Engineering) - Softcover
Book 12 of 53: Dover Civil and Mechanical Engineering
Synopsis
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.
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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From the Back Cover
The book provides easy and quick references for the solution of many engineering and mathematical problems related to the Lyapunov matrix equations. Because both the mathematical development and the applications are considered, this book is useful for solving problems as well as as for research purposes.
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Lyapunov Matrix Equation in System Stability and Control (Dover Civil and Mechanical Engineering)
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