Modal Interval Analysis

Author : Miguel A. Sainz
Publisher : Springer
ISBN 13 : 3319017217
Total Pages : 316 pages
Book Rating : 4.11/5 ( download)

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Download or read book Modal Interval Analysis written by Miguel A. Sainz and published by Springer. This book was released on 2013-11-18 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an innovative new approach to interval analysis. Modal Interval Analysis (MIA) is an attempt to go beyond the limitations of classic intervals in terms of their structural, algebraic and logical features. The starting point of MIA is quite simple: It consists in defining a modal interval that attaches a quantifier to a classical interval and in introducing the basic relation of inclusion between modal intervals through the inclusion of the sets of predicates they accept. This modal approach introduces interval extensions of the real continuous functions, identifies equivalences between logical formulas and interval inclusions, and provides the semantic theorems that justify these equivalences, along with guidelines for arriving at these inclusions. Applications of these equivalences in different areas illustrate the obtained results. The book also presents a new interval object: marks, which aspire to be a new form of numerical treatment of errors in measurements and computations.

Author : Navid Razmjooy
Publisher : John Wiley & Sons
ISBN 13 : 1394190999
Total Pages : 212 pages
Book Rating : 4.97/5 ( download)

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Download or read book Interval Analysis written by Navid Razmjooy and published by John Wiley & Sons. This book was released on 2023-12-04 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interval Analysis An innovative and unique application of interval analysis to optimal control problems In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function. You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains: A thorough introduction to common errors and mistakes, generating uncertainties in physical models Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods Complete treatments of existing control methods, including classic, conventional advanced, and robust control. Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.

Author : Jian Zhang
Publisher : CRC Press
ISBN 13 : 100017865X
Total Pages : 611 pages
Book Rating : 4.54/5 ( download)

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Download or read book Experimental Vibration Analysis for Civil Structures written by Jian Zhang and published by CRC Press. This book was released on 2020-11-04 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental Vibration Analysis for Civil Structures: Testing, Sensing, Monitoring, and Control covers a wide range of topics in the areas of vibration testing, instrumentation, and analysis of civil engineering and critical infrastructure. It explains how recent research, development, and applications in experimental vibration analysis of civil engineering structures have progressed significantly due to advancements in the fields of sensor and testing technologies, instrumentation, data acquisition systems, computer technology, computational modeling and simulation of large and complex civil infrastructure systems. The book also examines how cutting-edge artificial intelligence and data analytics can be applied to infrastructure systems. Features: Explains how recent technological developments have resulted in addressing the challenge of designing more resilient infrastructure Examines numerous research studies conducted by leading scholars in the field of infrastructure systems and civil engineering Presents the most emergent fields of civil engineering design, such as data analytics and Artificial Intelligence for the analysis and performance assessment of infrastructure systems and their resilience Emphasizes the importance of an interdisciplinary approach to develop the modeling, analysis, and experimental tools for designing more resilient and intelligent infrastructures Appropriate for practicing engineers and upper-level students, Experimental Vibration Analysis for Civil Structures: Testing, Sensing, Monitoring, and Control serves as a strategic roadmap for further research in the field of vibration testing and instrumentation of infrastructure systems.

Author : Josep Vehí
Publisher :
ISBN 13 : 9788495138590
Total Pages : 447 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Applications of Interval Analysis to Systems and Control written by Josep Vehí and published by . This book was released on 1999-01-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: "MISC'99 was organized by the Departament of Computer Sciences and Applied Mathematics and hte College of Computer Sciences and Applications and took place on the 24th, 25th and 26th of February, 1999."

Author : Vladik Kreinovich
Publisher : Springer Nature
ISBN 13 : 3031205693
Total Pages : 125 pages
Book Rating : 4.99/5 ( download)

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Download or read book From Intervals to –? written by Vladik Kreinovich and published by Springer Nature. This book was released on 2022-11-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy. In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations.

Author : Luc Jaulin
Publisher : Springer Science & Business Media
ISBN 13 : 1447102495
Total Pages : 382 pages
Book Rating : 4.96/5 ( download)

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Download or read book Applied Interval Analysis written by Luc Jaulin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .

Author : Karl Nickel
Publisher : Springer
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.75/5 ( download)

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Download or read book Interval Mathematics 1985 written by Karl Nickel and published by Springer. This book was released on 1986 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author :
Publisher :
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.29/5 ( download)

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Download or read book Proceedings of the ... Midwest Symposium on Circuits and Systems written by and published by . This book was released on 1999 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Isabel Aguiló
Publisher : IOS Press
ISBN 13 : 9781586033781
Total Pages : 520 pages
Book Rating : 4.86/5 ( download)

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Download or read book Artificial Intelligence Research and Development written by Isabel Aguiló and published by IOS Press. This book was released on 2003 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main scope of this publication is to promote collaborations among research groups in the community and to interchange ideas, allowing researchers to get a quick overview of the state of the art. This volume looks at topics including robotics and computer vision and multiagent systems.

Author : Ramon E. Moore
Publisher : SIAM
ISBN 13 : 9781611970906
Total Pages : 190 pages
Book Rating : 4.03/5 ( download)

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Download or read book Methods and Applications of Interval Analysis written by Ramon E. Moore and published by SIAM. This book was released on 1979-01-01 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats an important set of techniques that provide a mathematically rigorous and complete error analysis for computational results. It shows that interval analysis provides a powerful set of tools with direct applicability to important problems in scientific computing.