Distributed Modeling and Problem Formulation

  • Pushkin Kachroo
  • Kaan Ozbay


This chapter presents the modeling for the ramp metering problem in the distributed setting. It gives a detailed description of the dynamics and presents its limitations. The chapter also presents the control problem formulations in the distributed setting. The concept of projection dynamics is used to tackle the problems associated with the model.


Queue Length Control Objective Traffic Density Bottom Face Viable Region 
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7. References

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    Burns, J. A. and Kang, S., ‘A Control Problem for Burgers’ Equation with Bounded Input/Output”, Nonlinear Dynamics 2, 1991, 235–262.CrossRefGoogle Scholar
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    Cole, J. D., ‘On a Quasi-linear Parabolic Equation Occurring in Aerodynamics’”, Quart. Appl. Math. IX, 1951, 225–236.Google Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • Pushkin Kachroo
    • 1
  • Kaan Ozbay
    • 2
  1. 1.Virginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Rutgers UniversityPiscatawayUSA

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