Qualitative Analysis of Physical Problems
Qualitative Analysis of Physical Problems

Author: M Gitterman

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 289

ISBN-13: 0323157505

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Qualitative Analysis of Physical Problems reviews the essential features of all the main approaches used for the qualitative analysis of physical problems and demonstrates their application to problems from a wide variety of fields. Topics covered include model construction, dimensional analysis, symmetry, and the method of the small parameter. This book consists of six chapters and begins by looking at various approaches for the construction of models, along with nontrivial applications of dimensional analysis to some typical model systems. The following chapters focus on the application of symmetry to the microscopic and macroscopic properties of systems; the implications of analyticity and occurrence of singularities; and some methods of deriving the magnitude of the solutions (that is, approximate numerical values) for problems that usually cannot be solved exactly in closed form. The final chapter demonstrates the use of qualitative analysis to address the problem of second harmonic generation in nonlinear optics. This monograph will be a useful resource for graduate students, experimental and theoretical physicists, chemists, engineers, college and high school teachers, and those who are interested in obtaining a general perspective of modern physics.

Nonlinear Systems Analysis
Nonlinear Systems Analysis

Author: M. Vidyasagar

Publisher: SIAM

Published: 2002-01-01

Total Pages: 515

ISBN-13: 9780898719185

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When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Systems Science
Systems Science

Author: Yi Lin

Publisher: CRC Press

Published: 2012-11-26

Total Pages: 399

ISBN-13: 143989552X

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By making use of the principles of systems science, the scientific community can explain many complicated matters of the world and shed new light on unsettled problems. Each real science has its own particular methodology for not only qualitative but also quantitative analyses, so it is important to understand the organic whole of systems research

Hybrid Systems: Computation and Control
Hybrid Systems: Computation and Control

Author: Alberto Bemporad

Publisher: Springer Science & Business Media

Published: 2007-03-20

Total Pages: 812

ISBN-13: 3540714928

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This book constitutes the refereed proceedings of the 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, held in Pisa, Italy in April 2007. The 44 revised full papers and 39 revised short papers presented together with the abstracts of 3 keynote talks were carefully reviewed and selected from 167 submissions. Among the topics addressed are models of heterogeneous systems, computability and complexity issues, real-time computing and control, embedded and resource-aware control, control and estimation over wireless networks, tools for analysis, verification, control, and design, programming languages support and implementation, applications, including automotive, communication networks, avionics, energy systems, transportation networks, biology and other sciences, manufacturing, and robotics.

Nonlinear and Parametric Phenomena
Nonlinear and Parametric Phenomena

Author: Vladimir Damgov

Publisher: World Scientific

Published: 2004

Total Pages: 576

ISBN-13: 9812567895

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The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices. Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled resonance systems and oscillating systems under the action of external forces, nonlinear with respect to the coordinates of excited systems. Of an interdisciplinary nature, this volume can serve as a handbook for developing lecture courses such as Fundamentals of Nonlinear Dynamics and Theory of Nonlinear Oscillations, Theory of Nonlinear Circuits and Systems, Fundamentals of Radiophysics and Electronics, Theory of Signals and Theoretical Radiophysics, Theoretical Mechanics and Electrodynamics.

Manufacturing Engineering and Intelligent Materials
Manufacturing Engineering and Intelligent Materials

Author: Li Lu

Publisher: CRC Press

Published: 2015-07-28

Total Pages: 382

ISBN-13: 1315681579

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This volume is a collection of papers from experts and scholars presented at the 2015 International Conference on Manufacturing Engineering and Intelligent Materials (ICMEIM 2015), Guangzhou, January 30-31, 2015. It serves to discuss and share the latest new research results and developments on the topics manufacturing system and control engin

Method of Variation of Parameters for Dynamic Systems
Method of Variation of Parameters for Dynamic Systems

Author: V. Lakshmikantham

Publisher: CRC Press

Published: 1998-07-28

Total Pages: 330

ISBN-13: 9789056991609

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Method of Variation of Parameters for Dynamic Systems presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods. No other attempt has been made to bring all the available literature into one volume. This book is a clear exposition of this important topic in control theory, which is not covered by any other text. Such an exposition finally enables the comparison and contrast of the theory and the applications, thus facilitating further development in this fascinating field.