Lyapunov matrix equation in system stability and control /
Collection : Mathematics in science and engineering ; . v. 195 Détails physiques : 1 online resource (xii, 255 pages) ISBN :9780122733703; 0122733703; 9780080535678 (electronic bk.); 0080535674 (electronic bk.); 1281032913; 9781281032911.
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Lyapunov stability.
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Controleleer.
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Matrices.
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SCIENCE
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Chaotic Behavior in Systems.
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Systems
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Electronic books.
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Control theory.
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Lyapunov stability.
Includes bibliographical references and index.
Continuous algebraic Lyapunov equation -- Discrete algebraic Lyapunov equation -- Differential and difference Lyapunov equations -- Algebraic Lyapunov equations with small parameters -- Stability robustness and sensitivity of Lyapunov equation --Iterative methods and parallel algorithms -- Lyapunov iterations.
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. 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.
Description based on print version record.
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