Continuous Time and/or Continuous Distributions

  • Joseph Assouramou
  • Josée Desharnais
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6342)


We compare two models of processes involving uncountable space. Labelled Markov processes are probabilistic transition systems that can have uncountably many states, but still make discrete time steps. The probability measures on the state space may have uncountable support. Hybrid processes are a combination of a continuous space process that evolves continuously with time and of a discrete component, such as a controller. Existing extensions of Hybrid processes with probability restrict the probabilistic behavior to the discrete component. We use an example of an aircraft to highlight the differences between the two models and we define a generalization of both that can model all the features of our aircraft example.


Hybrid System Continuous Time Continuous Distribution Hybrid Process Concurrent System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Joseph Assouramou
    • 1
  • Josée Desharnais
    • 1
  1. 1.Department of Computer Science and Software EngineeringUniversité LavalQuébecCanada

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