Abstract:
This chapter focuses on control of systems of conservation laws with boundary data. Problems with one or two boundaries are considered and, in particular, we focus on cases where shocks may be developed by the solution. However, for completeness we briefly discuss in Sect. 2.2 other existing results where singularities are prevented via suitable feedback controls such as in [32].
Publication date:
January 1, 2022
Publication type:
Book Chapter
Citation:
Bayen, A., Monache, M. L. D., Garavello, M., Goatin, P., & Piccoli, B. (2022). Boundary Control of Conservation Laws Exhibiting Shocks. In A. Bayen, M. L. Delle Monache, M. Garavello, P. Goatin, & B. Piccoli (Eds.), Control Problems for Conservation Laws with Traffic Applications: Modeling, Analysis, and Numerical Methods (pp. 5–37). Springer International Publishing. https://doi.org/10.1007/978-3-030-93015-8_2