Introduction to Mathematical Systems Theory

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Sprache: Englisch

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Beschreibung

This is a book about modelling, analysis and control of linear time invariant systems. It uses the behavioural approach for which the authors are well regarded. It is a suitable text for senior undergraduates or beginning graduate students in mathematics and engineering and contains numerous exercises, including simulation problems and examples, notably of mechanical systems and electrical circuits.

Zusammenfassung

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2013
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xxx 424 S.
ISBN-13:	9781475729559
ISBN-10:	1475729553
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Willems, J. C. Polderman, J. W.
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 25 mm
Von/Mit:	J. C. Willems (u. a.)
Erscheinungsdatum:	03.03.2013
Gewicht:	0,686 kg