6 citations · 7 across the 4 of their papers we have counts for
9 papers
Optimal control of parabolic equations -- a spectral calculus based approach
Luka Grubišić, Martin Lazar, Ivica Nakić +1
In this paper we consider a constrained parabolic optimal control problem. The cost functional is quadratic and it combines the distance of the trajectory of the system from the de…
Sufficient criteria for stabilization properties in Banach spaces
Michela Egidi, Dennis Gallaun, Christian Seifert +1
We study abstract sufficient criteria for open-loop stabilizability of linear control systems in a Banach space with a bounded control operator, which build up and generalize a suf…
Sufficient criteria and sharp geometric conditions for observability in Banach spaces
Dennis Gallaun, Christian Seifert, Martin Tautenhahn
Let be Banach spaces, a -semigroup on , the corresponding infinitesimal generator on , a bounded linear operator from to , and $…
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains
Michela Egidi, Ivica Nakić, Albrecht Seelmann +3
We survey recent results on the control problem for the heat equation on unbounded and large bounded domains. First we formulate new uncertainty relations, respectively spectral in…
Sharp estimates and homogenization of the control cost of the heat equation on large domains
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We prove new bounds on the control cost for the abstract heat equation, assuming a spectral inequality or uncertainty relation for spectral projectors. In particular, we specify qu…
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +2
We prove and apply two theorems: First, a quantitative, scale-free unique continuation estimate for functions in a spectral subspace of a Schrödinger operator on a bounded or unbou…