03530nmm a2200337 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001800139245012900157250001700286260004800303300003200351505100200383653001701385653003101402653006101433653003101494653003601525653002701561700003001588710003401618041001901652989003801671490003301709856007201742082001101814520136701825EB000631274EBX0100000000000000048435600000000000000.0cr|||||||||||||||||||||140122 ||| eng a97814757295351 aWillems, J.C.00aIntroduction to Mathematical Systems TheoryhElektronische RessourcebA Behavioral Approachcby J.C. Willems, J.W. Polderman a1st ed. 1998 aNew York, NYbSpringer New Yorkc1998, 1998 aXXX, 424 pbonline resource0 a1 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 -- aChemometrics aComputational intelligence aCalculus of Variations and Optimal Control; Optimization aComputational Intelligence aMath. Applications in Chemistry aCalculus of variations1 aPolderman, J.W.e[author]2 aSpringerLink (Online service)07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aTexts in Applied Mathematics uhttps://doi.org/10.1007/978-1-4757-2953-5?nosfx=yxVerlag3Volltext0 a515.64 aMathematics 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