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Numerical methods for linear control systems [[electronic resource] ] : design and analysis / / Biswa Nath Datta
Numerical methods for linear control systems [[electronic resource] ] : design and analysis / / Biswa Nath Datta
Autore Datta Biswa Nath
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (736 p.)
Disciplina 629.8/32
Soggetto topico Control theory
System analysis
Linear control systems
Soggetto genere / forma Electronic books.
ISBN 1-281-03275-1
9786611032753
1-4356-0808-9
0-08-053788-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front 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)
2.2 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
3.7 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
4.6 Computing of the Eigenvectors of the Pencil A - λB4.7 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
CHAPTER 6. CONTROLLABILITY, OBSERVABILITY, AND DISTANCE TO UNCONTROLLABILITY
Record Nr. UNINA-9910457983203321
Datta Biswa Nath  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical methods for linear control systems [[electronic resource] ] : design and analysis / / Biswa Nath Datta
Numerical methods for linear control systems [[electronic resource] ] : design and analysis / / Biswa Nath Datta
Autore Datta Biswa Nath
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (736 p.)
Disciplina 629.8/32
Soggetto topico Control theory
System analysis
Linear control systems
ISBN 1-281-03275-1
9786611032753
1-4356-0808-9
0-08-053788-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front 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)
2.2 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
3.7 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
4.6 Computing of the Eigenvectors of the Pencil A - λB4.7 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
CHAPTER 6. CONTROLLABILITY, OBSERVABILITY, AND DISTANCE TO UNCONTROLLABILITY
Record Nr. UNINA-9910784637703321
Datta Biswa Nath  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Numerical methods for linear control systems : design and analysis / / Biswa Nath Datta
Numerical methods for linear control systems : design and analysis / / Biswa Nath Datta
Autore Datta Biswa Nath
Edizione [1st ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Descrizione fisica 1 online resource (736 p.)
Disciplina 629.8/32
Soggetto topico Control theory
System analysis
Linear control systems
ISBN 1-281-03275-1
9786611032753
1-4356-0808-9
0-08-053788-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front 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)
2.2 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
3.7 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
4.6 Computing of the Eigenvectors of the Pencil A - λB4.7 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
CHAPTER 6. CONTROLLABILITY, OBSERVABILITY, AND DISTANCE TO UNCONTROLLABILITY
Record Nr. UNINA-9910822007003321
Datta Biswa Nath  
Amsterdam ; ; Boston, : Elsevier Academic Press, c2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui