3 papers
math.NA2025
A control-based spatial source reconstruction in fractional heat equations
Galina García, Joaquín Vidal, Sebastián Zamorano
This article addresses the inverse source problem for a nonlocal heat equation involving the fractional Laplacian. The primary goal is to reconstruct the spatial component of the s…
math.OC2024
Tracking controllability for finite-dimensional linear systems
Sebastián Zamorano, Enrique Zuazua
This paper develops a functional-analytic characterization of output tracking controllability for finite-dimensional linear systems. By formulating tracking as the surjectivity of…
math.OC2024
Averaged observations and turnpike phenomenon for parameter-dependent systems
Martín Hernández, Martin Lazar, Sebastián Zamorano
Our main contribution in this article is the achievement of the turnpike property in its integral and exponential forms for parameter-dependent systems with averaged observations i…