EAN: 9783030930172

CONTROL PROBLEMS FOR CONSERVATION LAWS WITH TRA...

Conservation and balance laws on networks have been the subject of much research interest given
their wide range of applications to real-world processes  particularly traffic flow. This open
access monograph is the first to investigate different types of control problems for
conservation laws that arise in the modeling of vehicular traffic. Four types of control
problems are discussed - boundary  decentralized  distributed  and Lagrangian control -
corresponding to  respectively  entrance points and tolls  traffic signals at junctions 
variable speed limits  and the use of autonomy and communication. Because conservation laws are
strictly connected to Hamilton-Jacobi equations  control of the latter is also considered. An
appendix reviewing the general theory of initial-boundary value problems for balance laws is
included  as well as an appendix illustrating the main concepts in the theory of conservation
laws on networks.

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