Dynamic Traffic Routing Problem in Distributed Parameter Setting Using Semigroup Theory

Abstract

Design of feedback controllers for systems that are modeled by partial differential equations can be performed using semigroup theory. In this technique, the system dynamics are written using operators, which make the dynamics look like ordinary differential equations in Banach space. The research work to design feedback controllers for traffic routing using this formulation is not complete and is in its infancy. This chapter merely presents the fundamentals of this approach and leaves it upto the reader to design the controllers.KeywordsBanach SpaceLinear SpaceNormed Linear SpaceLinear Quadratic RegulatorSemigroup TheoryThese 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.