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Introduction to Mathematical Systems Theory: A Behavioral Approach

✍ Scribed by Jan Willem Polderman, Jan C. Willems (auth.)


Publisher
Springer-Verlag New York
Year
1998
Tongue
English
Leaves
446
Series
Texts in Applied Mathematics 26
Edition
1
Category
Library

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✦ Synopsis


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 exciteΒ­ ment on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the tradiΒ­ 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 beginΒ­ ning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced textbooks and research level monoΒ­ graphs. Preface Tbe purpose of this preface is twofold. Firstly, to give an informal historical inΒ­ 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.

✦ Table of Contents


Front Matter....Pages i-xxix
Dynamical Systems....Pages 1-25
Systems Defined by Linear Differential Equations....Pages 27-64
Time Domain Description of Linear Systems....Pages 65-113
State Space Models....Pages 115-149
Controllability and Observability....Pages 151-199
Elimination of Latent Variables and State Space Representations....Pages 201-240
Stability Theory....Pages 241-279
Time- and Frequency-Domain Characteristics of Linear Time-Invariant Systems....Pages 281-309
Pole Placement by State Feedback....Pages 311-339
Observers and Dynamic Compensators....Pages 341-382
Back Matter....Pages 383-424

✦ Subjects


Calculus of Variations and Optimal Control; Optimization; Math. Applications in Chemistry; Computational Intelligence


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