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Lecture Notes in Control and Information Sciences

Stochastic Hybrid Systems

Theory and Safety Critical Applications

Editors: Blom, Henk A.P., Lygeros, John (Eds.)

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About this book

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.

Table of contents (11 chapters)

Table of contents (11 chapters)
  • Toward a General Theory of Stochastic Hybrid Systems

    Pages 3-30

    Bujorianu, Manuela L. (et al.)

  • Hybrid Petri Nets with Diffusion That Have Into-Mappings with Generalised Stochastic Hybrid Processes

    Pages 31-63

    Everdij, Mariken H.C. (et al.)

  • Communicating Piecewise Deterministic Markov Processes

    Pages 65-104

    Strubbe, Stefan (et al.)

  • A Stochastic Approximation Method for Reachability Computations

    Pages 107-139

    Prandini, Maria (et al.)

  • Critical Observability of a Class of Hybrid Systems and Application to Air Traffic Management

    Pages 141-170

    Santis, Elena (et al.)

Buy this book

eBook $169.00
price for USA in USD (gross)
  • The eBook version of this title will be available soon
  • ISBN 978-3-540-33467-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $219.99
price for USA in USD
  • ISBN 978-3-540-33466-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stochastic Hybrid Systems
Book Subtitle
Theory and Safety Critical Applications
Editors
  • Henk A.P. Blom
  • John Lygeros
Series Title
Lecture Notes in Control and Information Sciences
Series Volume
337
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-33467-5
DOI
10.1007/11587392
Softcover ISBN
978-3-540-33466-8
Series ISSN
0170-8643
Edition Number
1
Number of Pages
XIV, 397
Topics

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