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Book Probabilistic Reachability for Stochastic Hybrid Systems

Download or read book Probabilistic Reachability for Stochastic Hybrid Systems written by Alessandro Abate and published by . This book was released on 2007 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stochastic Reachability Analysis of Hybrid Systems

Download or read book Stochastic Reachability Analysis of Hybrid Systems written by Luminita Manuela Bujorianu and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic reachability analysis (SRA) is a method of analyzing the behavior of control systems which mix discrete and continuous dynamics. For probabilistic discrete systems it has been shown to be a practical verification method but for stochastic hybrid systems it can be rather more. As a verification technique SRA can assess the safety and performance of, for example, autonomous systems, robot and aircraft path planning and multi-agent coordination but it can also be used for the adaptive control of such systems. Stochastic Reachability Analysis of Hybrid Systems is a self-contained and accessible introduction to this novel topic in the analysis and development of stochastic hybrid systems. Beginning with the relevant aspects of Markov models and introducing stochastic hybrid systems, the book then moves on to coverage of reachability analysis for stochastic hybrid systems. Following this build up, the core of the text first formally defines the concept of reachability in the stochastic framework and then treats issues representing the different faces of SRA: • stochastic reachability based on Markov process theory; • martingale methods; • stochastic reachability as an optimal stopping problem; and • dynamic programming. The book is rounded off by an appendix providing mathematical underpinning on subjects such as ordinary differential equations, probabilistic measure theory and stochastic modeling, which will help the non-expert-mathematician to appreciate the text. Stochastic Reachability Analysis of Hybrid Systems characterizes a highly interdisciplinary area of research and is consequently of significant interest to academic researchers and graduate students from a variety of backgrounds in control engineering, applied mathematics and computer science. The Communications and Control Engineering series reports major technological advances which have potential for great impact in the fields of communication and control. It reflects research in industrial and academic institutions around the world so that the readership can exploit new possibilities as they become available.

Book Probabilistic Bounded Reachability for Stochastic Hybrid Systems

Download or read book Probabilistic Bounded Reachability for Stochastic Hybrid Systems written by Fedor Shmarov and published by . This book was released on 2018 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Stochastic Hybrid Systems

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 Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation

Download or read book Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation written by Leonhard Asselborn and published by kassel university press GmbH. This book was released on 2018-09-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis proposes an algorithmic controller synthesis based on the computation of probabilistic reachable sets for stochastic hybrid systems. Hybrid systems consist in general of a composition of discrete and continuous valued dynamics, and are able to capture a wide range of physical phenomena. The stochasticity is considered in form of normally distributed initial continuous states and normally distributed disturbances, resulting in stochastic hybrid systems. The reachable sets describe all states, which are reachable by a system for a given initialization of the system state, inputs, disturbances, and time horizon. For stochastic hybrid systems, these sets are probabilistic, since the system state and disturbance are random variables. This thesis introduces probabilistic reachable sets with a predefined confidence, which are used in an optimization based procedure for the determination of stabilizing control inputs. Besides the stabilizing property, the controlled dynamics also observes input constraints, as well as, so-called chance constraints for the continuous state. The main contribution of this thesis is the formulation of an algorithmic control procedure for each considerd type of stochastic hybrid systems, where different discrete dynamics are considered. First, a control procedure for a deterministic system with bounded disturbances is introduced, and thereafter a probabilistic distribution of the system state and the disturbance is assumed. The formulation of probabilistic reachable sets with a predefined confidence is subsequently used in a control procedure for a stochastic hybrid system, in which the switch of the continuous dynamics is externally induced. Finally, the control procedure based on reachable set computation is extended to a type of stochastic hybrid systems with autonomously switching of the continuous dynamics.

Book Control of Stochastic Hybrid Systems Based on Probabilistic Reachable Set Computation

Download or read book Control of Stochastic Hybrid Systems Based on Probabilistic Reachable Set Computation written by Leonhard Asselborn and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Scalable Safety Verification of Stochastic Hybrid Systems

Download or read book Scalable Safety Verification of Stochastic Hybrid Systems written by Ratan Lal and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic hybrid systems consist of software-controlled physical processes, where uncertainties manifest due to either disturbance in the environment in which the physical systems operate or the noise in sensors/actuators through which they interact with the software. The safety analysis of such systems is challenging due to complex dynamics, uncertainties, and infinite state space. This thesis introduces fully automated methods for bounded/unbounded safety analysis of certain subclasses of the stochastic hybrid systems against given safety specifications. Our first contribution is to compute the maximum/minimum bounded probability of reachability of polyhedral probabilistic hybrid systems, where plant dynamics are expressed as a set of linear constraints over the rate of state variables, and uncertainties are involved in discrete transitions represented as discrete probability distributions over the set of locations/modes. Our broad approach is to encode all possible bounded probabilistic behaviors into an appropriate logic along with the given safety specifications. Then, we perform optimization over all possible behaviors for the maximum/minimum probability via state-of-the-art optimization solvers. The second contribution is to present fully automatic unbounded safety analysis of the polyhedral probabilistic hybrid systems (PHS). We present a novel counterexample guided abstraction refinement (CEGAR) algorithm for polyhedral PHS. Developing a CEGAR algorithm for the polyhedral PHS is complex owing to the uncertainties in the discrete transitions, and the infinite state space due to the real-valued variables. We present a practical algorithm by choosing a succinct representation for counterexamples, an efficient validation algorithm and a constructive method for refinement that ensures progress towards the elimination of a spurious abstract counterexample. The third contribution is to extend unbounded safety analysis to the class of linear probabilistic hybrid systems (PHS). Developing an abstraction for the linear PHS is a challenge when the dynamics is linear, because the solutions are exponential and require solving exponential constraints to construct the finite state MDP. Hence, we consider a hierarchical abstraction, where we first abstract a linear PHS to a polyhedral PHS using hybridization and then apply predicate abstraction to construct the finite state MDP. Finally, we consider uncertainties in plant dynamics, and develop an abstraction based method for both bounded/unbounded safety analysis of linear stochastic systems. The bounded safety analysis is similar to the encoding in bounded model checking, where we encode bounded stochastic behaviors instead of continuous behaviors and solve the encoding using a semi-definite program solver. For the unbounded safety analysis, we abstract the linear stochastic system into a finite state system, and analyze its safety using graph search algorithms.

Book Hybrid Systems  Computation and Control

Download or read book Hybrid Systems Computation and Control written by Alberto Bemporad and published by Springer Science & Business Media. This book was released on 2007-03-20 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Handbook of Hybrid Systems Control

Download or read book Handbook of Hybrid Systems Control written by Jan Lunze and published by Cambridge University Press. This book was released on 2009-10-15 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.

Book Hybrid Systems  Computation and Control

Download or read book Hybrid Systems Computation and Control written by Joao Hespanha and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Workshop on Hybrid Systems: Computation and Control, HSCC 2006, held in Santa Barbara, CA, USA in March 2006. The 39 revised full papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from 79 submissions. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors.

Book Hybrid Systems  Computation and Control

Download or read book Hybrid Systems Computation and Control written by Freek Wiedijk and published by Springer. This book was released on 2003-07-01 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth Workshop on Hybrid Systems: Computation and Control (HSCC 2003), which was held in Prague, during April 3–5, 2003. The Hybrid Systems workshops attract researchers interested in the modeling, analysis, control, and implementation of systems which involve the interaction of both discrete and continuous state dynamics. The newest results and latest developments in hybrid system models, formal methods for analysis and control, computational tools, as well as new applications and examples are presented at these annual meetings. The Sixth Workshop continued the series of workshops held in Grenoble, France (HART’97), Berkeley, California, USA (HSCC’98), Nijmegen, The Neth- lands (HSCC’99), Pittsburgh, Pennsylvania, USA (HSCC 2000), Rome, Italy (HSCC 2001), and Stanford, California, USA (HSCC 2002). Proceedings of these workshops have been published by Springer-Verlag in the Lecture Notes in C- puter Science (LNCS) series. This year we assembled a technical program committee with a broad expertise in formal methods in computer science, control theory, applied mathematics, and arti?cial intelligence. We received a set of 75 high-quality submitted papers. After detailed review and discussion of these papers by the program committee, 36 papers were accepted for presentation at the workshop, and the ?nal versions of these papers appear in this volume.

Book Quantitative Evaluation of Systems

Download or read book Quantitative Evaluation of Systems written by Annabelle McIver and published by Springer. This book was released on 2018-08-27 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th International Conference on Quantitative Evaluation Systems, QEST 2018, held in Beijing, China, in September 2018. The 24 full papers presented were carefully reviewed and selected from 51 submissions. The papers cover topics in the field of quantitative evaluation and verification of computer systems and networks through stochastic models and measurements emphasizing two frontier topics in research: quantitative information flow for security and industrial formal methods.

Book Quantitative Evaluation of Systems

Download or read book Quantitative Evaluation of Systems written by Gethin Norman and published by Springer. This book was released on 2014-08-27 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 11th International Conference on Quantitative Evaluation of Systems, QEST 2014, held in Florence, Italy, in September 2014. The 24 full papers and 5 short papers included in this volume were carefully reviewed and selected from 61 submissions. They are organized in topical sections named: Kronecker and product form methods; hybrid systems; mean field/population analysis; models and tools; simulation; queueing, debugging and tools; process algebra and equivalences; automata and Markov process theory; applications, theory and tools; and probabilistic model checking.

Book Formal Modeling and Analysis of Timed Systems

Download or read book Formal Modeling and Analysis of Timed Systems written by Catalin Dima and published by Springer Nature. This book was released on 2021-08-16 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2021, held in Paris, France, in August 2021. The 8 full papers that were carefully reviewed and selected from 19 submissions are presented in this volume with 2 invited talks. The papers focus on topics such as probabilistic computation, logic and verification, robotic planning, complexity of timed pattern matching, safety violations in real-time systems, modal and temporal logics, and others.

Book Leveraging Applications of Formal Methods  Verification and Validation  Specialized Techniques and Applications

Download or read book Leveraging Applications of Formal Methods Verification and Validation Specialized Techniques and Applications written by Tiziana Margaria and published by Springer. This book was released on 2014-09-26 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 8802 and LNCS 8803 constitutes the refereed proceedings of the 6th International Symposium on Leveraging Applications of Formal Methods, Verification and Validation, ISoLA 2014, held in Imperial, Corfu, Greece, in October 2014. The total of 67 full papers was carefully reviewed and selected for inclusion in the proceedings. Featuring a track introduction to each section, the papers are organized in topical sections named: evolving critical systems; rigorous engineering of autonomic ensembles; automata learning; formal methods and analysis in software product line engineering; model-based code generators and compilers; engineering virtualized systems; statistical model checking; risk-based testing; medical cyber-physical systems; scientific workflows; evaluation and reproducibility of program analysis; processes and data integration in the networked healthcare; semantic heterogeneity in the formal development of complex systems. In addition, part I contains a tutorial on automata learning in practice; as well as the preliminary manifesto to the LNCS Transactions on the Foundations for Mastering Change with several position papers. Part II contains information on the industrial track and the doctoral symposium and poster session.

Book Horizons of the Mind  A Tribute to Prakash Panangaden

Download or read book Horizons of the Mind A Tribute to Prakash Panangaden written by Franck van Breugel and published by Springer. This book was released on 2014-05-23 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume contains papers presented at a conference, Prakash Fest, held in honor of Prakash Panangaden, in Oxford, UK, in May 2014, to celebrate his 60th birthday. Prakash Panangaden has worked on a large variety of topics including probabilistic and concurrent computation, logics and duality and quantum information and computation. Despite the enormous breadth of his research, he has made significant and deep contributions. For example, he introduced logic and a real-valued interpretation of the logic to capture equivalence of probabilistic processes quantitatively. The 25 papers included in this volume were carefully reviewed. They cover a large variety of topics in theoretical computer science.