Introduction to Mathematical Systems Theory A Behavioral Approach
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied mathematics. This renewal of interest,both in researc...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1998, 1998
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| Edition: | 1st ed. 1998 |
| Series: | Texts in Applied Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Dynamical Systems
- 2 Systems Defined by Linear Differential Equations
- 3 Time Domain Description of Linear Systems
- 4 State Space Models
- 5 Controllability and Observability
- 6 Elimination of Latent Variables and State Space Representations
- 7 Stability Theory
- 8 Time- and Frequency-Domain Characteristics of Linear Time-Invariant Systems
- 9 Pole Placement by State Feedback
- 10 Observers and Dynamic Compensators
- A Simulation Exercises
- A.1 Stabilization of a Cart
- A.2 Temperature Control of a Container
- A.3 Autonomous Dynamics of Coupled Masses
- A.4 Satellite Dynamics
- A.4.1 Motivation
- A.4.2 Mathematical modeling
- A.4.3 Equilibrium Analysis
- A.4.4 Linearization
- A.4.5 Analysis of the model
- A.4.6 Simulation
- A.5 Dynamics of a Motorbike
- A.6 Stabilization of a Double Pendulum
- A.6.1 Modeling
- A.6.2 Linearization
- A.6.3 Analysis
- A.6.4 Stabilization
- A.7 Notes and References
- B Background Material
- B.1 Polynomial Matrices
- B.2 Partial Fraction Expansion
- B.3 Fourier and Laplace Transforms
- B.3.1 Fourier transform
- B.3.2 Laplace transform
- B.4 Notes and References
- B.5 Exercises
- Notation
- References