Stochastic Hybrid Systems
Stochastic Hybrid Systems

Author: Christos G. Cassandras

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 301

ISBN-13: 1420008544

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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.

Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation
Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation

Author: Leonhard Asselborn

Publisher: kassel university press GmbH

Published: 2018-09-17

Total Pages: 172

ISBN-13: 3737605807

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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.

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

Author: Magnus Egerstedt

Publisher: Springer Science & Business Media

Published: 2008-04-03

Total Pages: 692

ISBN-13: 3540789286

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This book constitutes the refereed proceedings of the 11th International Conference on Hybrid Systems: Computation and Control, HSCC 2008, held in St. Louis, MO, USA, in April 2008. The 42 revised full papers and 20 revised short papers presented were carefully reviewed and selected from numerous submissions for inclusion in the book. The papers focus on research in embedded, reactive systems involving the interplay between symbolic/switching and continuous dynamical behaviors and feature the latest developments of applications and theoretical advancements in the design, analysis, control, optimization, and implementation of hybrid systems, with particular attention to embedded and networked control systems.

Stochastic Reachability Analysis of Hybrid Systems
Stochastic Reachability Analysis of Hybrid Systems

Author: Luminita Manuela Bujorianu

Publisher: Springer Science & Business Media

Published: 2012-04-23

Total Pages: 251

ISBN-13: 1447127951

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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.

Computational Methods in Systems Biology
Computational Methods in Systems Biology

Author: Olivier Roux

Publisher: Springer

Published: 2015-09-01

Total Pages: 302

ISBN-13: 3319234013

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This book constitutes the refereed proceedings of the 13th International Conference on Computational Methods in Systems Biology, CMSB 2015, held in Nantes, France, in September 2015. The 20 full papers and 2 short papers presented were carefully reviewed and selected from 43 full and 4 short paper submissions. The papers cover a wide range of topics in the analysis of biological systems, networks and data such as model checking, stochastic analysis, hybrid systems, circadian clock, time series data, logic programming, and constraints solving ranging from intercellular to multiscale.

Refined Probabilistic Abstraction
Refined Probabilistic Abstraction

Author: Björn Wachter

Publisher: Logos Verlag Berlin GmbH

Published: 2011

Total Pages: 197

ISBN-13: 3832527648

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Computer networks and embedded systems are ubiquitous and critical parts of our daily life. Therefore performance and reliability guarantees for these systems are crucial. To this end, versatile probabilistic modelling and analysis techniques have been developed. However existing probabilistic analysis methods are inherently limited to small systems. This dissertation introduces a new probabilistic analysis method that scales to large and even infinite systems which are far out of reach of previous methods. The key idea is to approximate a given system by a smaller abstraction which is refined automatically until sufficient precision has been achieved. The thesis discusses the various foundational and practical challenges involved in developing this method, as well as its effectiveness in practice.

Computer Aided Verification
Computer Aided Verification

Author: Shuvendu K. Lahiri

Publisher: Springer Nature

Published: 2020-07-15

Total Pages: 697

ISBN-13: 3030532917

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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.

Quantitative Evaluation of Systems
Quantitative Evaluation of Systems

Author: Annabelle McIver

Publisher: Springer

Published: 2018-08-27

Total Pages: 435

ISBN-13: 331999154X

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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.

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

Author: Joao Hespanha

Publisher: Springer Science & Business Media

Published: 2006-03-20

Total Pages: 595

ISBN-13: 3540331700

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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.