Linear system theory and design /

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Detalles Bibliográficos
Autor principal: Chen, Chi-Tsong
Formato: Libro
Lenguaje:English
Publicado: New York : Oxford University Press, [2013].
Edición:Fourth edition.
Colección:The Oxford series in electrical and computer engineering
Materias:
Sistemas lineales
Diseño de sistemas
Tabla de Contenidos:
  • Machine generated contents note:
  • Preface
  • 1. Introduction
  • 1.1. Introduction
  • 1.2. Overview
  • 2. Mathematical Descriptions of Systems
  • 2.1. Introduction
  • 2.2. Causality, Lumpedness, and Time-Invariance
  • 2.3. Linear Time-Invariant (LTI) Systems
  • 2.4. Linear Time-Varying Systems
  • 2.5. RLC circuits--Comparisons of Various Descriptions
  • 2.6. Mechanical and Hydraulic Systems
  • 2.7. Proper Rational Transfer Functions
  • 2.8. Discrete-Time Linear Time-Invariant Systems
  • 2.9. Concluding Remarks
  • 3. Linear Algebra
  • 3.1. Introduction
  • 3.2. Basis, Representation, and Orthonormalization
  • 3.3. Linear Algebraic Equations
  • 3.4. Similarity Transformation
  • 3.5. Diagonal Form and Jordan Form
  • 3.6. Functions of a Square Matrix
  • 3.7. Lyapunov Equation
  • 3.8. Some Useful Formula
  • 3.9. Quadratic Form and Positive Definiteness
  • 3.10. Singular Value Decomposition
  • 3.11. Norms of Matrices
  • 4. State-Space Solutions and Realizations
  • 4.1. Introduction
  • 4.2. General Solution of CT LTI State-Space Equations
  • 4.3. Computer Computation of CT State-Space Equations
  • 4.4. Equivalent State Equations
  • 4.5. Realizations
  • 4.6. Solution of Linear Time-Varying (LTV) Equations
  • 4.7. Equivalent Time-Varying Equations
  • 4.8. Time-Varying Realizations
  • 5. Stability
  • 5.1. Introduction
  • 5.2. Input-Output Stability of LTI Systems
  • 5.3. Discrete-Time Case
  • 5.4. Internal Stability
  • 5.5. Lyapunov Theorem
  • 5.6. Stability of LTV Systems
  • 6. Controllability and Observability
  • 6.1. Introduction
  • 6.2. Controllability
  • 6.3. Observability
  • 6.4. Canonical Decomposition
  • 6.5. Conditions in Jordan-Form Equations
  • 6.6. Discrete-Time State-Space Equations
  • 6.7. Controllability After Sampling
  • 6.8. LTV State-Space Equations
  • 7. Minimal Realizations and Coprime Fractions
  • 7.1. Introduction
  • 7.2. Implications of Coprimeness
  • 7.3. Computing Coprime Fractions
  • 7.4. Balanced Realization
  • 7.5. Realizations from Markov Parameters
  • 7.6. Degree of Transfer Matrices
  • 7.7. Minimal Realizations- Matrix Case
  • 7.8. Matrix Polynomial Fractions
  • 7.9. Realization from Matrix Coprime Fractions
  • 7.10. Realizations from Matrix Markov Parameters
  • 7.11. Concluding Remarks
  • 8. State Feedback and State Estimators
  • 8.1. Introduction
  • 8.2. State Feedback
  • 8.3. Regulation and Tracking
  • 8.4. State Estimator
  • 8.5. Feedback from Estimated States
  • 8.6. State feedback--MIMO case
  • 8.7. State Estimators--MIMO case
  • 8.8. Feedback from Estimated States--MIMO Case
  • 9. Pole Placement and Model Matching
  • 9.1. Introduction
  • 9.2. Preliminary--Matching Coefficients
  • 9.3. Unity-Feedback Configuration-Pole Placement
  • 9.4. Implementable Transfer Functions
  • 9.5. MIMO Unity Feedback Systems
  • 9.6. MIMO Model Matching--Two-Parameter Configuration
  • 9.7. Concluding Remarks
  • References
  • Answers to Selected Problems
  • Index.

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