Siva Seetharaman, 10 May 2018
Schedule
- 10:30 am: Richard Murray, 109 Steele Lab
- 11 am: informal seminar + Q&A
- Noon: lunch with students
- 1:15 pm: open
- 2:00 pm: open
- 2:45 pm: open
- 3:30 pm: open
- 4:15 pm: open (tentative; depending on flight times)
- 5:00 pm (done for the day)
Seminar
Congestion in Large-Scale Transportation Networks: Analysis and Control Perspectives
Siva Seetharaman, Notre Dame
10 May 2018, 11 am, 121 Annenberg
Fluid-like models their discretizations like the Cell Transmission Model (CTM), have proven successful in modeling traffic networks. However, given the complexity of the dynamics, it is not surprising that the stability properties of these models, especially in congested regimes, are not yet well characterized. The first half of this talk will propose a new modeling paradigm, where an analogy between discetized fluid-like traffic flow models and a class of chemical reaction networks is constructed by suitable relaxations of key conservation laws. This framework allows us to draw upon powerful structural results and entropy-like Lyapunov functions from chemical reaction network theory to study the existence and stability of congested steady states in networks with arbitrary toplogies. The second half of this talk will motivate compositional design approaches to mitigate congestion in large-scale transportation networks by describing a scalable distributed design that uses only local information to limit the propagation of congestion in the network.
