Year: 2024
Type: preprint
Abstract: In this paper, we obtain a null controllability result for a coupled fourth order parabolic system based on the Stackelberg-Nash strategies. For this purpose, we first prove the existence and uniqueness of Nash equilibrium pair of the original system and its explicit expression is provided. Next, we investigate the null controllability of Nash equilibrium to the corresponding optimal system. By duality theory, we establish an observability estimate for the coupled fourth order parabolic system. Such an estimate is obtained by a new global Carleman estimate we derived.
Source: arXiv (Cornell University)
Authors: Li, Yating, Zhang, Muming
Institution: Northeast Normal University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Award: 一类双曲抛物耦合方程组的适定性研究
OpenAlex ID: W4391124112