Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorPolderman, Jan Willem. author
TitleIntroduction to Mathematical Systems Theory [electronic resource] : A Behavioral Approach / by Jan Willem Polderman, Jan C. Willems
ImprintNew York, NY : Springer New York : Imprint: Springer, 1998
Connect tohttp://dx.doi.org/10.1007/978-1-4757-2953-5
Descript XXX, 424 p. online resource

SUMMARY

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


CONTENT

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 Chemometrics Calculus of variations Computational intelligence Mathematics Calculus of Variations and Optimal Control; Optimization Math. Applications in Chemistry Computational Intelligence



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram