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Details

Autor(en) / Beteiligte
Titel
Introduction to mathematical systems theory : a behavioral approach
Auflage
1st ed. 1998
Ort / Verlag
New York : Springer Science+Business Media, LLC,
Erscheinungsjahr
[1998]
Link zum Volltext
Beschreibungen/Notizen
  • Bibliographic Level Mode of Issuance: Monograph
  • Includes bibliographical references (pages [415]-418) and index.
  • 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.
  • 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 research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The developmentof new courses is a natural consequenceof a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbookssuitable for use in advancedundergraduate and beginning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface Tbe purpose of this preface is twofold. Firstly, to give an informal historical introduction to the subject area of this book, Systems and Control , and secondly, to explain the philosophy of the approach to this subject taken in this book and to outline the topics that will be covered.
  • English
  • Description based on print version record.
Sprache
Englisch
Identifikatoren
ISBN: 1-4757-2953-7
OCLC-Nummer: 1066188041, 1257078747
Titel-ID: 9925024253306463
Format
1 online resource (XXX, 424 p.)
Schlagworte
Differentiable dynamical systems