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Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - Willems, J.C. Polderman, J.W.
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Willems, J.C. Polderman, J.W.:

Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - hardcover

1997, ISBN: 9780387982663

Springer, Gebundene Ausgabe, Auflage: 1997, 454 Seiten, Publiziert: 1997-11-07T00:00:01Z, Produktgruppe: Buch, 0.76 kg, Verkaufsrang: 2987949, Informatik, IT-Ausbildung & -Berufe, Compute… More...

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Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - Willems, J.C. Polderman, J.W.
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Willems, J.C. Polderman, J.W.:

Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - hardcover

1997, ISBN: 9780387982663

Springer, Gebundene Ausgabe, Auflage: 1997, 454 Seiten, Publiziert: 1997-11-07T00:00:01Z, Produktgruppe: Buch, 0.76 kg, Verkaufsrang: 2884394, Informatik, IT-Ausbildung & -Berufe, Compute… More...

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Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - Willems, J.C. Polderman, J.W.
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Willems, J.C. Polderman, J.W.:
Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - hardcover

1997

ISBN: 9780387982663

Springer, Gebundene Ausgabe, Auflage: 1997, 454 Seiten, Publiziert: 1997-11-07T00:00:01Z, Produktgruppe: Buch, 0.76 kg, Verkaufsrang: 2987949, Informatik, IT-Ausbildung & -Berufe, Compute… More...

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Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - Willems, J.C. Polderman, J.W.
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Willems, J.C. Polderman, J.W.:
Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26) - hardcover

1997, ISBN: 9780387982663

Springer, Gebundene Ausgabe, Auflage: 1997, 454 Seiten, Publiziert: 1997-11-07T00:00:01Z, Produktgruppe: Buch, 1.68 kg, Verkaufsrang: 138369, Informatik, IT-Ausbildung & -Berufe, Computer… More...

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Introduction to Mathematical Systems Theory A Behavioral Approach - Willems, J.C. und J.W. Polderman
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Willems, J.C. und J.W. Polderman:
Introduction to Mathematical Systems Theory A Behavioral Approach - used book

1997, ISBN: 9780387982663

[PU: Springer US], Gebrauchs- und Lagerspuren. 152/3, DE, [SC: 0.00], gebraucht; gut, gewerbliches Angebot, 1997, Banküberweisung, Kreditkarte, PayPal, Klarna-Sofortüberweisung, Internati… More...

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Details of the book
Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26)
Author:
Title:
ISBN:

0387982663


This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are obtained for two systems of differential equations to be equivalent in the sense that they define the same behavior. It is further shown that the trajectories of such linear differential systems can be partitioned in free inputs and bound outputs. In addition the memory structure of the system is analyzed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. In the third part control problems are considered, more specifically stabilization and pole placement questions. This text is suitable for advanced undergraduate or beginning graduate students in mathematics and engineering. It contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits. TOC:Preface 1. Dynamical Systems 1.1 Introduction 1.2 Models 1.2.1 The universum and the behavior 1.2.2 Behavioral equations 1.2.3 Latent variables 1.3 Dynamical systems 1.3.1 The basic concept 1.3.2 Latent variables in dynamical systems 1.4 Linearity and time-invariance 1.5 Dynamical behavioral equations 1.6 Recapitulation 1.7 Notes and references 1.8 Exercises 2. Systems defined by Linear Differential Equations 2.1 Introduction 2.2 Notation

Details of the book - Introduction to Mathematical Systems Theory: A Behavioral Approach (Texts in Applied Mathematics, 26)


EAN (ISBN-13): 9780387982663
ISBN (ISBN-10): 0387982663
Hardcover
Publishing year: 1998
Publisher: Springer

Book in our database since 2007-11-04T12:26:19+00:00 (London)
Detail page last modified on 2024-03-14T15:31:49+00:00 (London)
ISBN/EAN: 0387982663

ISBN - alternate spelling:
0-387-98266-3, 978-0-387-98266-3
Alternate spelling and related search-keywords:
Book author: jan willems, polderman willems
Book title: introduction mathematical systems theory behavioral approach, introduction applied mathematics, the mathematical theory systems

Information from Publisher

Author: J.C. Willems; J.W. Polderman
Title: Texts in Applied Mathematics; Introduction to Mathematical Systems Theory - A Behavioral Approach
Publisher: Springer; Springer US
424 Pages
Publishing year: 1997-11-07
New York; NY; US
Weight: 0,760 kg
Language: English
85,59 € (DE)
87,99 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BB; Book; Hardcover, Softcover / Mathematik/Sonstiges; Variationsrechnung; Verstehen; calculus; Invariant; memory; variable; addition; dynamical systems; equation; control; mathematics; simulation; behavior; modeling; B; Calculus of Variations and Optimal Control; Optimization; Mathematics and Statistics; Math. Applications in Chemistry; Computational Intelligence; Optimierung; Mathematik für Wissenschaftler; Chemie; Künstliche Intelligenz; BC; EA; BB

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.
Research into dynamical systems and control theory implications is a very hot topic J. Willems is well-known researcher and has a very good reputation in nonlinear control theory The book uses a unique behavioral approach for which the authors are well regarded Dynamical systems, controllability, observability and stability are among the many topics of active research that are presented Important, widely applicable modeling techniques are detailed Contains numerous exercises, simulation problems, and examples Will be of interest to applied mathematicians, mechanical and electrical engineers.; 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.
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