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.
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© 1999 Springer-Verlag
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Kachroo, P., Özbay, K. (1999). Dynamic Traffic Routing Problem in Distributed Parameter Setting Using Semigroup Theory. In: Feedback Control Theory for Dynamic Traffic Assignment. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-0815-3_5
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DOI: https://doi.org/10.1007/978-1-4471-0815-3_5
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1209-9
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