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Formal Verification And Control Of Discrete Time Stochastic Systems
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Book Synopsis Formal Verification and Control of Discrete-time Stochastic Systems by : Morteza M. Lahijanian
Download or read book Formal Verification and Control of Discrete-time Stochastic Systems written by Morteza M. Lahijanian and published by . This book was released on 2013 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This thesis establishes theoretical and computational frameworks for formal verification and control synthesis for discrete-time stochastic systems. Given a temporal logic specification, the system is analyzed to determine the probability that the specification is achieved, and an input law is automatically generated to maximize this probability. The approach consists of three main steps: constructing an abstraction of the stochastic system as a finite Markov model, mapping the given specification onto this abstraction, and finding a control policy to maximize the probability of satisfying the specification. The framework uses Probabilistic Computation Tree Logic (PCTL) as the specification language. The verification and synthesis algorithms are inspired by the field of probabilistic model checking. In abstraction, a method for the computation of the exact transition probability bounds between the regions of interest in the domain of the stochastic system is first developed. These bounds are then used to construct an Interval-valued Markov Chain (IMC) or a Bounded-parameter Markov Decision Process (BMDP) abstraction for the system. Then, a representative transition probability is used to construct an approximating Markov chain (MC) for the stochastic system. The exact bound of the approximation error and an explicit expression for its growth over time are derived. To achieve a desired error value, an adaptive refinement algorithm that takes advantage of the linear dynamics of the system is employed.To verify the properties of the continuous domain stochastic system against a finite-time PCTL specification, IMC and BMDP verification algorithms are designed. These algorithms have low computational complexity and are inspired by the MC model checking algorithms. The low computational complexity is achieved by over approximating the probabilities of satisfaction. To increase the precision of the method, two adaptive refinement procedures are proposed. Furthermore, a method of generating the control strategy that maximizes the probability of satisfaction of a PCTL specification for Markov Decision Processes (MDPs) is developed. Through a similar method, a formal synthesis framework is constructed for continuous domain stochastic systems by utilizing their BMDP abstractions. These methodologies are then applied in robotics applications as a means of automatically deploying a mobile robot subject to noisy sensors and actuators from PCTL specifications. This technique is demonstrated through simulation and experimental case studies of deployment of a robot in an indoor environment. The contributions of the thesis include verification and synthesis frameworks for discrete time stochastic linear systems, abstraction schemes for stochastic systems to MCs, IMCs, and BMDPs, model checking algorithms with low computational complexity for IMCs and BMDPs against finite-time PCTL formulas, synthesis algorithms for Markov Decision Processes (MDPs) from PCTL formulas, and a computational framework for automatic deployment of a mobile robot from PCTL specifications. The approaches were validated by simulations and experiments. The algorithms and techniques in this thesis help to make discrete-time stochastic systems a more useful and effective class of models for analysis and control of real world systems.
Book Synopsis Formal Methods for Discrete-Time Dynamical Systems by : Calin Belta
Download or read book Formal Methods for Discrete-Time Dynamical Systems written by Calin Belta and published by Springer. This book was released on 2017-03-08 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.
Book Synopsis Optimal Control of Discrete Time Stochastic Systems by : C. Striebel
Download or read book Optimal Control of Discrete Time Stochastic Systems written by C. Striebel and published by Springer. This book was released on 2013-12-21 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete-time Stochastic Systems by : Torsten Söderström
Download or read book Discrete-time Stochastic Systems written by Torsten Söderström and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.
Book Synopsis Stochastic Hybrid Systems by : Christos G. Cassandras
Download or read book Stochastic Hybrid Systems written by Christos G. Cassandras and published by CRC Press. This book was released on 2018-10-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.
Book Synopsis Formal Modeling and Analysis of Timed Systems by : Sergiy Bogomolov
Download or read book Formal Modeling and Analysis of Timed Systems written by Sergiy Bogomolov and published by Springer Nature. This book was released on 2022-08-28 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2022, held in Warsaw, Poland, in September 2022. The 12 full papers together with 2 short papers that were carefully reviewed and selected from 30 submissions are presented in this volume with 3 full-length papers associated with invited/anniversary talks. The papers focus on topics such as modelling, design and analysis of timed computational systems. The conference aims in real-time issues in hardware design, performance analysis, real-time software, scheduling, semantics and verification of real-timed, hybrid and probabilistic systems.
Book Synopsis Mathematical Methods in Robust Control of Discrete-Time Linear Stochastic Systems by : Vasile Dragan
Download or read book Mathematical Methods in Robust Control of Discrete-Time Linear Stochastic Systems written by Vasile Dragan and published by Springer Science & Business Media. This book was released on 2009-11-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the authors develop a theory for the robust control of discrete-time stochastic systems, subjected to both independent random perturbations and to Markov chains. Such systems are widely used to provide mathematical models for real processes in fields such as aerospace engineering, communications, manufacturing, finance and economy. The theory is a continuation of the authors’ work presented in their previous book entitled "Mathematical Methods in Robust Control of Linear Stochastic Systems" published by Springer in 2006. Key features: - Provides a common unifying framework for discrete-time stochastic systems corrupted with both independent random perturbations and with Markovian jumps which are usually treated separately in the control literature; - Covers preliminary material on probability theory, independent random variables, conditional expectation and Markov chains; - Proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations; - Leads the reader in a natural way to the original results through a systematic presentation; - Presents new theoretical results with detailed numerical examples. The monograph is geared to researchers and graduate students in advanced control engineering, applied mathematics, mathematical systems theory and finance. It is also accessible to undergraduate students with a fundamental knowledge in the theory of stochastic systems.
Book Synopsis Formal Verification and Control of Stochastic Hybrid Systems: Model-based and Data-driven Techniques by : Ameneh Nejati
Download or read book Formal Verification and Control of Stochastic Hybrid Systems: Model-based and Data-driven Techniques written by Ameneh Nejati and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis NASA Formal Methods by : Aaron Dutle
Download or read book NASA Formal Methods written by Aaron Dutle and published by Springer. This book was released on 2018-04-06 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 10th International Symposium on NASA Formal Methods, NFM 2018, held in Newport News, VA, USA, in April 2018. The 24 full and 7 short papers presented in this volume were carefully reviewed and selected from 92 submissions. The papers focus on formal techniques and other approaches for software assurance, their theory, current capabilities and limitations, as well as their potential application to aerospace, robotics, and other NASA-relevant safety-critical systems during all stages of the software life-cycle.
Book Synopsis NASA Formal Methods by : Jyotirmoy V. Deshmukh
Download or read book NASA Formal Methods written by Jyotirmoy V. Deshmukh and published by Springer Nature. This book was released on 2022-05-19 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 14th International Symposium on NASA Formal Methods, NFM 2022, held in Pasadena, USA, during May 24-27, 2022. The 33 full and 6 short papers presented in this volume were carefully reviewed and selected from 118submissions. The volume also contains 6 invited papers. The papers deal with advances in formal methods, formal methods techniques, and formal methods in practice. The focus on topics such as interactive and automated theorem proving; SMT and SAT solving; model checking; use of machine learning and probabilistic reasoning in formal methods; formal methods and graphical modeling languages such as SysML or UML; usability of formal method tools and application in industry, etc.
Book Synopsis H [hoch Unendlich] type control for discrete-time stochastic systems by : Abdelmoulah el Bouhtouri
Download or read book H [hoch Unendlich] type control for discrete-time stochastic systems written by Abdelmoulah el Bouhtouri and published by . This book was released on 1998 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automated Technology for Verification and Analysis by : Shuvendu K. Lahiri
Download or read book Automated Technology for Verification and Analysis written by Shuvendu K. Lahiri and published by Springer. This book was released on 2018-09-29 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Symposium on Automated Technology for Verification and Analysis, ATVA 2018, held in Los Angeles, CA, USA in October 2018. The 27 full papers presented together with 5 short papers and 3 invited talks were carefully reviewed and selected from 82 submissions. The symposium is dedicated to the promotion of research on theoretical and practical aspects of automated analysis, verification and synthesis by providing a forum for interaction between the regional and the international research communities and industry in the field.
Book Synopsis Numerical Software Verification by : Majid Zamani
Download or read book Numerical Software Verification written by Majid Zamani and published by Springer. This book was released on 2019-08-02 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Workshop on Numerical Software Verification, NSV 2019, held in New York City, NY, USA, in July 2019 - colocated with the International Conference on Computer Aided Verification, CAV 2019. The 5 full papers presented together with 2 short papers, 3 abstracts of invited talks, and 2 tutorial papers were carefully reviewed and selected from numerous submissions. The NSV 2017 workshop is dedicated to the development of logical and mathematical techniques for the reasoning about programmability and reliability.
Book Synopsis Numerical Software Verification by : Sergiy Bogomolov
Download or read book Numerical Software Verification written by Sergiy Bogomolov and published by Springer. This book was released on 2017-02-14 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th InternationalWorkshop on Numerical Software Verification, NSV 2016, held in Toronto, ON, Canada in July 2011 - colocated with CAV 2016, the 28th International Conference on Computer Aided Verification. The NSV workshop is dedicated to the development of logical and mathematical techniques for the reasoning about programmability and reliability.
Book Synopsis Optimization of Stochastic Systems by : Masanao Aoki
Download or read book Optimization of Stochastic Systems written by Masanao Aoki and published by Elsevier. This book was released on 2016-06-03 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization of Stochastic Systems
Book Synopsis Discrete-Time and Discrete-Space Dynamical Systems by : Kuize Zhang
Download or read book Discrete-Time and Discrete-Space Dynamical Systems written by Kuize Zhang and published by Springer. This book was released on 2019-08-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including: Boolean control networks; nondeterministic finite-transition systems; finite automata; labelled Petri nets; and cellular automata. The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology. Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this increasingly important class of systems. The basic results to be found within are of fundamental importance for further study of related problems such as automated synthesis and safety control in cyber-physical systems using formal methods.
Book Synopsis Quantitative Evaluation of Systems and Formal Modeling and Analysis of Timed Systems by : Jane Hillston
Download or read book Quantitative Evaluation of Systems and Formal Modeling and Analysis of Timed Systems written by Jane Hillston and published by Springer Nature. This book was released on with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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