Interval Reachability Analysis

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Interval Reachability Analysis
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Author : Pierre-Jean Meyer
language : en
Publisher: Springer Nature
Release Date : 2021-01-20
Interval Reachability Analysis written by Pierre-Jean Meyer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Technology & Engineering categories.
This brief presents a suite of computationally efficient methods for bounding trajectories of dynamical systems with multi-dimensional intervals, or ‘boxes’. It explains the importance of bounding trajectories for evaluating the robustness of systems in the face of parametric uncertainty, and for verification or control synthesis problems with respect to safety and reachability properties. The methods presented make use of: interval analysis; monotonicity theory; contraction theory; and data-driven techniques that sample trajectories. The methods are implemented in an accompanying open-source Toolbox for Interval Reachability Analysis. This brief provides a tutorial description of each method, focusing on the requirements and trade-offs relevant to the user, requiring only basic background on dynamical systems. The second part of the brief describes applications of interval reachability analysis. This makes the brief of interest to a wide range of academic researchers, graduate students, and practising engineers in the field of control and verification.
Quantitative Modeling And Analysis Of Service Oriented Real Time Systems Using Interval Probabilistic Timed Automata
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Author : Krause, Christian
language : en
Publisher: Universitätsverlag Potsdam
Release Date : 2012
Quantitative Modeling And Analysis Of Service Oriented Real Time Systems Using Interval Probabilistic Timed Automata written by Krause, Christian and has been published by Universitätsverlag Potsdam this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Computers categories.
One of the key challenges in service-oriented systems engineering is the prediction and assurance of non-functional properties, such as the reliability and the availability of composite interorganizational services. Such systems are often characterized by a variety of inherent uncertainties, which must be addressed in the modeling and the analysis approach. The different relevant types of uncertainties can be categorized into (1) epistemic uncertainties due to incomplete knowledge and (2) randomization as explicitly used in protocols or as a result of physical processes. In this report, we study a probabilistic timed model which allows us to quantitatively reason about nonfunctional properties for a restricted class of service-oriented real-time systems using formal methods. To properly motivate the choice for the used approach, we devise a requirements catalogue for the modeling and the analysis of probabilistic real-time systems with uncertainties and provide evidence that the uncertainties of type (1) and (2) in the targeted systems have a major impact on the used models and require distinguished analysis approaches. The formal model we use in this report are Interval Probabilistic Timed Automata (IPTA). Based on the outlined requirements, we give evidence that this model provides both enough expressiveness for a realistic and modular specifiation of the targeted class of systems, and suitable formal methods for analyzing properties, such as safety and reliability properties in a quantitative manner. As technical means for the quantitative analysis, we build on probabilistic model checking, specifically on probabilistic time-bounded reachability analysis and computation of expected reachability rewards and costs. To carry out the quantitative analysis using probabilistic model checking, we developed an extension of the Prism tool for modeling and analyzing IPTA. Our extension of Prism introduces a means for modeling probabilistic uncertainty in the form of probability intervals, as required for IPTA. For analyzing IPTA, our Prism extension moreover adds support for probabilistic reachability checking and computation of expected rewards and costs. We discuss the performance of our extended version of Prism and compare the interval-based IPTA approach to models with fixed probabilities.
Computer Aided Verification
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Author : Shuvendu K. Lahiri
language : en
Publisher: Springer Nature
Release Date : 2020-07-15
Computer Aided Verification written by Shuvendu K. Lahiri and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-15 with Computers categories.
The open access two-volume set LNCS 12224 and 12225 constitutes the refereed proceedings of the 32st International Conference on Computer Aided Verification, CAV 2020, held in Los Angeles, CA, USA, in July 2020.* The 43 full papers presented together with 18 tool papers and 4 case studies, were carefully reviewed and selected from 240 submissions. The papers were organized in the following topical sections: Part I: AI verification; blockchain and Security; Concurrency; hardware verification and decision procedures; and hybrid and dynamic systems. Part II: model checking; software verification; stochastic systems; and synthesis. *The conference was held virtually due to the COVID-19 pandemic.
Perspectives On Engineering Uncertainty
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Author : William Nuttall
language : en
Publisher: Springer Nature
Release Date : 2025-05-02
Perspectives On Engineering Uncertainty written by William Nuttall and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-02 with Technology & Engineering categories.
This open access book considers the role of uncertainty in the design and development of large-scale engineering systems. The focus of the book is the safe behaviour of nuclear power plants in both routine operations and in incident situations. The book introduces various types of uncertainty and addresses the extent to which uncertainties may be reduced. The role of multiple dimensions of uncertainty is discussed, as is the importance of modern computational techniques in handling large data sets. Modern IT also provides engineers with new tools, such as digital twins with the potential to greatly reduce cost both in design and in operations. The book focuses on both system safety and efficiency and, to do this, reference is made to the Advanced Gas-Cooled Reactor (AGR). The AGR is a mature established system through which the book elucidates various key concepts and ideas. As well as being of interest to those working in the nuclear industry, the book is likely to appeal to those working in other safety critical engineering sectors and, for example, reference is made to experiences in aviation and railway engineering. This is neither a text book nor a review, it is a primer for those seeking an introduction to modern approaches to uncertainty.
Formal Methods For Control Of Nonlinear Systems
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Author : Yinan Li
language : en
Publisher: CRC Press
Release Date : 2022-12-15
Formal Methods For Control Of Nonlinear Systems written by Yinan Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
Formal methods is a field of computer science that emphasizes the use of rigorous mathematical techniques for verification and design of hardware and software systems. Analysis and design of nonlinear control design plays an important role across many disciplines of engineering and applied sciences, ranging from the control of an aircraft engine to the design of genetic circuits in synthetic biology. While linear control is a well-established subject, analysis and design of nonlinear control systems remains a challenging topic due to some of the fundamental difficulties caused by nonlinearity. Formal Methods for Control of Nonlinear Systems provides a unified computational approach to analysis and design of nonlinear systems. Features Constructive approach to nonlinear control. Rigorous specifications and validated computation. Suitable for graduate students and researchers who are interested in learning how formal methods and validated computation can be combined together to tackle nonlinear control problems with complex specifications from an algorithmic perspective. Combines mathematical rigor with practical applications.
Computer Aided Verification
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Author : Constantin Enea
language : en
Publisher: Springer Nature
Release Date : 2023-07-17
Computer Aided Verification written by Constantin Enea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-17 with Computers categories.
The open access proceedings set LNCS 13964, 13965, 13966 constitutes the refereed proceedings of the 35th International Conference on Computer Aided Verification, CAV 2023, which was held in Paris, France, in July 2023. The 67 full papers presented in these proceedings were carefully reviewed and selected from 261 submissions. The have been organized in topical sections as follows: Part I: Automata and logic; concurrency; cyber-physical and hybrid systems; synthesis; Part II: Decision procedures; model checking; neural networks and machine learning; Part II: Probabilistic systems; security and quantum systems; software verification.
Guaranteed Verification Of Dynamic Systems
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Author : Schwab, Stefan
language : en
Publisher: KIT Scientific Publishing
Release Date : 2022-03-15
Guaranteed Verification Of Dynamic Systems written by Schwab, Stefan and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-15 with Technology & Engineering categories.
This work introduces a new specification and verification approach for dynamic systems. The introduced approach is able to provide type II error free results by definition, i.e. there are no hidden faults in the verification result. The approach is based on Kaucher interval arithmetic to enclose the measurement in a bounded error sense. The developed methods are proven mathematically to provide a reliable verification for a wide class of safety critical systems.
Ecai 2016
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Author : G.A. Kaminka
language : en
Publisher: IOS Press
Release Date : 2016-08-24
Ecai 2016 written by G.A. Kaminka and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-24 with Computers categories.
Artificial Intelligence continues to be one of the most exciting and fast-developing fields of computer science. This book presents the 177 long papers and 123 short papers accepted for ECAI 2016, the latest edition of the biennial European Conference on Artificial Intelligence, Europe’s premier venue for presenting scientific results in AI. The conference was held in The Hague, the Netherlands, from August 29 to September 2, 2016. ECAI 2016 also incorporated the conference on Prestigious Applications of Intelligent Systems (PAIS) 2016, and the Starting AI Researcher Symposium (STAIRS). The papers from PAIS are included in this volume; the papers from STAIRS are published in a separate volume in the Frontiers in Artificial Intelligence and Applications (FAIA) series. Organized by the European Association for Artificial Intelligence (EurAI) and the Benelux Association for Artificial Intelligence (BNVKI), the ECAI conference provides an opportunity for researchers to present and hear about the very best research in contemporary AI. This proceedings will be of interest to all those seeking an overview of the very latest innovations and developments in this field.
Theoretical Aspects Of Computing Ictac 2006
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Author : Kamel Barkaoui
language : en
Publisher: Springer
Release Date : 2006-11-02
Theoretical Aspects Of Computing Ictac 2006 written by Kamel Barkaoui and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Computers categories.
This book constitutes the refereed proceedings of the Third International Colloquium on Theoretical Aspects of Computing, ICTAC 2006 held in Tunis, Tunisia in November 2006. The 21 revised full papers presented together with three invited talks and summaries of two tutorials were carefully reviewed and selected from 78 submissions.
Computer Aided Verification
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Author : Hana Chockler
language : en
Publisher: Springer
Release Date : 2018-07-21
Computer Aided Verification written by Hana Chockler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-21 with Computers categories.
This open access two-volume set LNCS 10980 and 10981 constitutes the refereed proceedings of the 30th International Conference on Computer Aided Verification, CAV 2018, held in Oxford, UK, in July 2018. The 52 full and 13 tool papers presented together with 3 invited papers and 2 tutorials were carefully reviewed and selected from 215 submissions. The papers cover a wide range of topics and techniques, from algorithmic and logical foundations of verification to practical applications in distributed, networked, cyber-physical, and autonomous systems. They are organized in topical sections on model checking, program analysis using polyhedra, synthesis, learning, runtime verification, hybrid and timed systems, tools, probabilistic systems, static analysis, theory and security, SAT, SMT and decisions procedures, concurrency, and CPS, hardware, industrial applications.