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  • 1
    UID:
    b3kat_BV036962210
    Format: 1 Online-Ressource (xii, 255 p.) , 24 cm
    Edition: Online_Ausgabe Amsterdam Elsevier Science & Technology 2007 Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    Edition: Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0122733703 , 9780122733703
    Series Statement: Mathematics in science and engineering v. 195
    Note: Includes bibliographical references and index , 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
    Additional Edition: Reproduktion von Lyapunov matrix equation in system stability and control c1995
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Kontrolltheorie ; Matrizenrechnung ; Ljapunov-Stabilitätstheorie ; Ljapunov-Gleichung ; Optimale Kontrolle
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  • 2
    UID:
    b3kat_BV010473837
    Format: XII, 255 S.
    ISBN: 0122733703
    Series Statement: Mathematics in science and engineering 195
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Ljapunov-Gleichung ; Optimale Kontrolle ; Ljapunov-Stabilitätstheorie ; Matrizenrechnung ; Kontrolltheorie
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  • 3
    Online Resource
    Online Resource
    San Diego :Academic Press,
    UID:
    almahu_9947366474902882
    Format: 1 online resource (271 p.)
    ISBN: 1-281-03291-3 , 9786611032913 , 0-08-053567-4
    Series Statement: Mathematics in science and engineering ; v. 195
    Content: 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 al
    Note: Description based upon print version of record. , Front Cover; Lyapunov Matrix Equation in System Stability and Control; Copyright Page; Contents; Preface; Chapter 1. Introduction; 1.1 Stability of Linear Systems; 1.2 Variance of Linear Stochastic Systems; 1.3 Quadratic Performance Measure; 1.4 Book Organization; 1.5 References; Chapter 2. Continuous Algebraic Lyapunov Equation; 2.1 Explicit Solutions; 2.2 Solution Bounds; 2.3 Numerical Solutions; 2.4 Summary; 2.5 References; Chapter 3. Discrete Algebraic Lyapunov Equation; 3.1 Explicit Solutions; 3.2 Bounds of Solution's Attributes; 3.3 Numerical Solutions; 3.4 Summary; 3.5 References , Chapter 4. Differential and Difference Lyapunov Equations4.1 Explicit Solutions; 4.2 Bounds of Solution's Attributes; 4.3 Numerical Solutions; 4.4 Singularly Perturbed and Weakly Coupled Systenns; 4.5 Coupled Differential Lyapunov Equations; 4.6 Sunnmary; 4.7 References; Chapter 5. Algebraic Lyapunov Equations with Small Parameters; 5.1 Singularly Perturbed Continuous Lyapunov Equation; 5.2 Weakly Coupled Continuous Lyapunov Equation; 5.3 Singularly Perturbed Discrete Systems; 5.4 Recursive Methods for Weakly Coupled Discrete Systems; 5.5 Summary; 5.6 References , Chapter 6. Stability Robustness and Sensitivity of Lyapunov Equation6.1 Stability Robustness; 6.2 Sensitivity; 6.3 References; Chapter 7. Iterative Methods and Parallel Algorithms; 7.1 Smith's Algorithm; 7.2 ADI Iterative Method; 7.3 SOR Iterative Method; 7.4 Parallel Algorithms; 7.5 Parallel Algorithms for Coupled Lyapunov Equations; 7.6 Comments; 7.7 References; Chapter 8. Lyapunov Iterations; 8.1 Kleinman's Algorithm for Riccati Equation; 8.2 Lyapunov Iterations for Jump Parameter Linear Systems; 8.3 Lyapunov Iterations for Nash Differential Games , 8.4 Lyapunov Iterations for Output Feedback Control8.5 Comments; 8.6 References; Chapter 9. Concluding Remarks; 9.1 Sylvester Equations; 9.2 Related Topics; 9.3 Applications; 9.4 Comments; 9.5 References; Appendix; Matrix Inequalities; Index , English
    Additional Edition: ISBN 0-12-273370-3
    Language: English
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  • 4
    UID:
    gbv_1684905508
    Format: Online-Ressource , xii, 255 p , 24 cm
    Edition: Online-Ausg.] Amsterdam Elsevier Science & Technology 2007 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
    ISBN: 0122733703 , 9780122733703
    Series Statement: Mathematics in science and engineering v. 195
    Content: 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
    Note: 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. , Electronic reproduction; Mode of access: World Wide Web
    Additional Edition: Erscheint auch als Druck-Ausgabe Gajić, Zoran Lyapunov matrix equation in system stability and control San Diego, Calif. [u.a.] : Acad. Press, 1995 ISBN 0122733703
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Steuerungstheorie ; Ljapunov-Stabilitätstheorie
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 5
    UID:
    almahu_BV024974199
    Format: XII, 255 S.
    ISBN: 0-12-273370-3
    Series Statement: Mathematics in science and engineering 195
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Ljapunov-Gleichung ; Optimale Kontrolle
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