A new hierarchical control for the wave equation
Year: 2024
Type: article
Abstract: This work present results on controlling a wave equation with a hierarchy of actions; a leader control acts and the follower reacts to this action trying to get a different target of the one of the leader. In this paper, we invert the roles of the classical Stackelberg strategies where the leader has a controllability target and the follower and optimization objective. See e.g. Lions (1994), Araruna et al. (2018), Araruna et al. (2020). We will consider a leader aiming to minimize a functional and a follower control with an exact controllability target. • This paper treats two hierarchical control problems for the wave equation. • We analyze Stackelberg strategies when the leader control has an optimization objective and the follower one, an exact controllability objective. • We present results when the follower control acts on the boundary and the leader acts in the interior or in the boundary.
Source: Wave Motion
Authors: Luz de Teresa, Jose Antonio Villa
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4404582573