Author | Polderman, Jan Willem. author |
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Title | Introduction to Mathematical Systems Theory [electronic resource] : A Behavioral Approach / by Jan Willem Polderman, Jan C. Willems |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1998 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-2953-5 |
Descript | XXX, 424 p. online resource |
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