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...

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Main Authors: Willems, J.C., Polderman, J.W. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 1998, 1998
Edition:1st ed. 1998
Series:Texts in Applied Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Willems, J.C. 
245 0 0 |a Introduction to Mathematical Systems Theory  |h Elektronische Ressource  |b A Behavioral Approach  |c by J.C. Willems, J.W. Polderman 
250 |a 1st ed. 1998 
260 |a New York, NY  |b Springer New York  |c 1998, 1998 
300 |a XXX, 424 p  |b online resource 
505 0 |a 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 -- 
653 |a Chemometrics 
653 |a Computational intelligence 
653 |a Calculus of Variations and Optimal Control; Optimization 
653 |a Computational Intelligence 
653 |a Math. Applications in Chemistry 
653 |a Calculus of variations 
700 1 |a Polderman, J.W.  |e [author] 
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520 |a 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 excite­ ment on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the tradi­ tional 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 begin­ ning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced textbooks and research level mono­ graphs. Preface Tbe purpose of this preface is twofold. Firstly, to give an informal historical in­ troduction 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