On the global controllability of scalar conservation laws with boundary and source controls
Abstract
We provide global and semi-global controllability results for hyperbolic conservation laws on a bounded domain, with a general (not necessarily convex)flux and a time-dependent source term acting as a control. The results are achieved for, possibly critical, both continuously differentiable states and BV states. The proofs are based on a combination of the return method and on the analysis of the Riccati equaiton for the space derivative of the solution.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2020
- DOI:
- 10.48550/arXiv.2009.08433
- arXiv:
- arXiv:2009.08433
- Bibcode:
- 2020arXiv200908433A
- Keywords:
-
- Mathematics - Analysis of PDEs;
- Mathematics - Optimization and Control
- E-Print:
- 22 pages, 5 figures