LEADER 04819nam 22006614a 450 001 9910784637703321 005 20200520144314.0 010 $a1-281-03275-1 010 $a9786611032753 010 $a1-4356-0808-9 010 $a0-08-053788-X 035 $a(CKB)1000000000384700 035 $a(EBL)316991 035 $a(SSID)ssj0000072623 035 $a(PQKBManifestationID)11107354 035 $a(PQKBTitleCode)TC0000072623 035 $a(PQKBWorkID)10102759 035 $a(PQKB)11660662 035 $a(MiAaPQ)EBC316991 035 $a(Au-PeEL)EBL316991 035 $a(CaPaEBR)ebr10206359 035 $a(CaONFJC)MIL103275 035 $a(OCoLC)190811747 035 $a(PPN)186037090 035 $a(EXLCZ)991000000000384700 100 $a20030821d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical methods for linear control systems$b[electronic resource] $edesign and analysis /$fBiswa Nath Datta 210 $aAmsterdam ;$aBoston $cElsevier Academic Press$dc2004 215 $a1 online resource (736 p.) 300 $aDescription based upon print version of record. 311 $a0-12-203590-9 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Numerical Methods For Linear Control Systems: Design and Analysis; Copyright Page; Contents; Preface; Acknowledgments; About the Author; List of Algorithms; Notations and Symbols; CHAPTER 1. INTRODUCTION AND OVERVIEW; 1.1 Linear and Numerical Linear Algebra (Chapter 2 and Chapters 3 and 4); 1.2 System Responses (Chapter 5); 1.3 Controllability and Observability problems (Chapter 6); 1.4 Stability and Inertia (Chapter 7); 1.5 Lyapunov, Sylvester, and Algebraic Riccati Equations (Chapters 8 and 13); 1.6 Realization and Identification (Chapter 9) 327 $a2.2 Orthogonality of Vectors and Subspaces2.3 Matrices; 2.4 Some Special Matrices; 2.5 Vector and Matrix Norms; 2.6 Norm Invariant Properties Under Unitary Matrix Multiplication; 2.7 Kronecker Product, Kronecker Sum, and Vec Operation; 2.8 Chapter Notes and Further Reading; References; CHAPTER 3. SOME FUNDAMENTAL TOOLS AND CONCEPTS FROM NUMERICAL LINEAR ALGEBRA; 3.1 Introduction; 3.2 Floating Point Numbers and Errors in Computations; 3.3 Conditioning, Efficiency, Stability, and Accuracy; 3.4 LU Factorization; 3.5 Numerical Solution of the Linear System Ax=b; 3.6 The QR Factorization 327 $a3.7 Orthonormal Bases and Orthogonal Projections Using QR Factorization3.8 The Least-Squares Problem; 3.9 The Singular Value Decomposition (SVD); 3.10 Summary and Review; 3.11 Chapter Notes and Further Reading; References; CHAPTER 4. CANONICAL FORMS OBTAINED VIA ORTHOGONAL TRANSFORMATIONS; 4.1 Importance and Significance of Using Orthogonal Transformations; 4.2 Hessenberg Reduction of a Matrix; 4.3 The Real Schur Form of A: The QR Iteration Method; 4.4 Computing the Singular Value Decomposition (SVD); 4.5 The Generalized Real Schur Form: The QZ algorithm 327 $a4.6 Computing of the Eigenvectors of the Pencil A - ?B4.7 Summary and Review; 4.8 Chapter Notes and Further Reading; References; PART II: CONTROL SYSTEMS ANALYSIS; CHAPTER 5. LINEAR STATE-SPACE MODELS AND SOLUTIONS OF THE STATE EQUATIONS; 5.1 Introduction; 5.2 State-Space Representations of Control Systems; 5.3 Solutions of a Continuous-Time System: System Responses; 5.4 State-Space Solution of the Discrete-Time System; 5.5 Transfer Function and Frequency Response; 5.6 Some Selected Software; 5.7 Summary and Review; 5.8 Chapter Notes and Further Reading; Exercises; References 327 $aCHAPTER 6. CONTROLLABILITY, OBSERVABILITY, AND DISTANCE TO UNCONTROLLABILITY 330 $aNumerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. MATLAB-based software is included for implementing all of the major algorithms from the book.* Unique coverage of modern mathematical concepts such as parallel computations, second-order system 606 $aControl theory 606 $aSystem analysis 606 $aLinear control systems 615 0$aControl theory. 615 0$aSystem analysis. 615 0$aLinear control systems. 676 $a629.8/32 700 $aDatta$b Biswa Nath$0627415 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784637703321 996 $aNumerical methods for linear control systems$947430 997 $aUNINA