Details

Autor(en) / Beteiligte

• Casti, J. L
• Casti, J. L

Titel

Linear dynamical systems

Beschreibungen/Notizen

• Rev. ed. of: Dynamical systems and their applications : linear theory. 1977.
• Includes bibliographies and index.
• Front Cover; Linear Dynamical Systems; Copyright Page; Contents; Preface to the Revised Edition; Preface to the First Edition; Chapter 1. Basic Concepts, Problems, and Examples; 1.1 Dynamical Systems, Inputs, and Outputs; 1.2 Internal Description of S; 1.3 Realizations; 1.4 Controllability and Observability; 1.5 Stability and Feedback; 1.6 Optimality; 1.7 Stochastic Disturbances; Notes and References; Chapter 2. Mathematical Description of Linear Dynamical Systems; 2.1 Introduction; 2.2 Dynamical Systems; 2.3 External Description; 2.4 Frequency-Domain Analysis; 2.5 Transfer Functions
• 2.6 Impulse-Response FunctionNotes and References; Chapter 3. Controllability and Reachability; 3.1 Introduction; 3.2 Basic Definitions; 3.3 Time-Dependent Linear Systems; 3.4 Discrete-Time Systems; 3.5 Constant Systems; 3.6 Positive Controllability; 3.7 Relative Controllability; 3.8 Conditional Controllability; 3.9 Structural Controllability; 3.10 Controllability and Transfer Functions; 3.11 Systems with a Delay; Miscellaneous Exercises; Notes and References; Chapter 4. Observability/Constructibility; 4.1 Introduction; 4.2 Basic Definitions; 4.3 Basic Theorems; 4.4 Duality
• 4.5 Functional Analytic Approach to Observability4.6 The Problem of Moments; Miscellaneous Exercises; Notes and References; Chapter 5. Structure Theorems and Canonical Forms; 5.1 Introduction; 5.2 State Variable Transformations; 5.3 Control Canonical Forms; 5.4 Observer Canonical Forms; 5.5 Invariance of Transfer Functions; 5.6 Canonical Forms and the Bezoutiant Matrix; 5.7 The Feedback Group and Invariant Theory; Miscellaneous Exercises; Notes and References; Chapter 6. Realization Theory; 6.1 Introduction; 6.2 Algebraic Equivalence and Minimal Realizability; 6.3 Construction of Realizations
• 6.4 Minimal Realization Algorithm6.5 Examples; 6.6 Realization of Transfer Functions; 6.7 Uniqueness of Minimal Realizations; 6.8 Partial Realizations; 6.9 Reduced Order Models and Balanced Realizations; Miscellaneous Exercises; Notes and References; Chapter 7. Stability Theory; 7.1 Introduction; 7.2 Some Examples and Basic Concepts; 7.3 Routh-Hurwicz Methods; 7.4 Lyapunov Method; 7.5 Frequency-Domain Techniques; 7.6 Feedback Control Systems and Stability; 7.7 Modal Control; 7.8 Observers; 7.9 Structural Stability; Miscellaneous Exercises; Notes and References
• Chapter 8. The Linear-Quadratic-Gaussian Problem8.1 Motivation and Examples; 8.2 Open-Loop Solutions; 8.3 The Maximum Principle; 8.4 Some Computational Considerations; 8.5 Feedback Solutions; 8.6 Generalized X-Y Functions; 8.7 Optimality versus Stability; 8.8 A Low-Dimensional Alternative to the Algebraic Riccati Equation; 8.9 Computational Approaches for Riccati Equations; 8.10 Structural Stability of the Optimal Closed-Loop System; 8.11 Inverse Problems; 8.12 Linear Filtering Theory and Duality; 8.13 The Separation Principle and Stochastic Control Theory; 8.14 Discrete-Time Problems
• 8.15 Generalized X-Y Functions Revisited
• Linear dynamical systems
• English