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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.
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Stochastic hybrid systems involve the coupling of discrete (logic based), continuous and probabilistic phenomena. Because of their versatility and generality, methods for modelling and analysis of stochastic hybrid systems have proved invaluable in a wide range of applications, including finance, air traffic control, biology, telecommunications, and embedded systems. Success stories in these application areas have made stochastic hybrid systems a very important, rapidly growing and dynamic research field since the beginning of the century, bridging the gap between stochastic analysis, computer science and control engineering.This volume presents a number of fundamental theoretical advances in the area of stochastic hybrid systems, motivated primarily from applications to air traffic management. Air traffic is arguably the most challenging application area for stochastic hybrid systems, since it requires handling complex distributed systems, multiple human in the loop elements and hybrid dynamics. The editors have collected key contributions, which define the state-of-the-art, present novel directions, and highlight emerging application areas.