@Article{dbt_mods_00069030,
  author = 	{Oppeneiger, Benedikt
		and Schaller, Manuel
		and Worthmann, Karl
		and {5. IFAC Workshop on Control of Systems Governed by Partial Differential Equations (CPDE) (Beijing, 18.-20.06.2025)}},
  title = 	{Spatial decay of perturbations in transport equations with optimal boundary control},
  journal = 	{IFAC-PapersOnLine},
  year = 	{2025},
  month = 	{Aug},
  day = 	{29},
  publisher = 	{Elsevier},
  address = 	{Frankfurt; Frankfurt ; M{\"u}nchen [u.a.]},
  volume = 	{59},
  number = 	{8},
  pages = 	{66--71},
  keywords = 	{boundary control; detectability; robustness; Sensitivity analysis; stabilizability; transport equation},
  abstract = 	{Recently, domain-uniform stabilizability and detectability has been the central assumption to ensure robustness in the sense of exponential decay of spatially localized perturbations in optimally controlled evolution equations. In the present paper we analyze a chain of transport equations with boundary and point controls with regard to this property. Both for Dirichlet and Neumann boundary and coupling conditions, we show a necessary and sufficient criterion on control domains which allow for the domain-uniform stabilization of this equation. We illustrate the results by means of a numerical example.},
  note = 	{Fortsetzung von: Internationale F{\"o}rderung f{\"u}r Automatische Lenkung: IFAC Proceedings Volumes},
  issn = 	{2405-8963},
  doi = 	{10.1016/j.ifacol.2025.08.068},
  url = 	{https://www.db-thueringen.de/receive/dbt_mods_00069030},
  url = 	{http://uri.gbv.de/document/gvk:ppn:839396090},
  url = 	{https://doi.org/10.1016/j.ifacol.2025.08.068},
  url = 	{https://doi.org/10.1016/j.ifacol},
  file = 	{:https://www.db-thueringen.de/servlets/MCRFileNodeServlet/dbt_derivate_00070404/2405-8963_59_2025_8_66-71.pdf:PDF},
  language = 	{en}
}