Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Zamorano, Sebastian"'
Autor:
Zamorano, Sebastián, Zuazua, Enrique
We introduce and analyze the concept of tracking controllability, where the objective is for the state of a control system, or some projection thereof, to follow a given trajectory within a specified time horizon. By leveraging duality, we characteri
Externí odkaz:
http://arxiv.org/abs/2407.18641
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 in the cost functional. Namely, under suitable assumptions with respect
Externí odkaz:
http://arxiv.org/abs/2404.17455
We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based on a relaxed observability inequality for the corresponding adjoint sys
Externí odkaz:
http://arxiv.org/abs/2209.14351
Autor:
Warma, Mahamadi, Zamorano, Sebastian
We consider averages convergence as the time-horizon goes to infinity of optimal solutions of time-dependent optimal control problems to optimal solutions of the corresponding stationary optimal control problems. Control problems play a key role in e
Externí odkaz:
http://arxiv.org/abs/2008.03773
In this article we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation, from knowledge of the trace of the solution on some open subset of the boundary. We obtain the Lipschitz stability f
Externí odkaz:
http://arxiv.org/abs/2001.07673
We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator $ (-\partial_x^2)^s$ (with $0
Externí odkaz:
http://arxiv.org/abs/1910.14529
Publikováno v:
In Journal of Differential Equations 25 August 2023 365:832-881
The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace operator subject to the nonhomogeneous Dirichlet type exterior condition
Externí odkaz:
http://arxiv.org/abs/1812.11863
Autor:
Warma, Mahamadi, Zamorano, Sebastian
We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval $(0,1)$ associated with the fractional Laplace operator $(-\partial_x^2)^s$, where $0
Externí odkaz:
http://arxiv.org/abs/1811.10477
Autor:
Warma, Mahamadi, Zamorano, Sebastian
We make a complete analysis of the controllability properties from the exterior of the (possible) strong damping wave equation with the fractional Laplace operator subject to the nonhomogeneous Dirichlet type exterior condition. In the first part, we
Externí odkaz:
http://arxiv.org/abs/1810.08060