Work

Controllability for a 2 × 2 nonlinear degenerate parabolic system via one boundary control force

Year: 2025

Type: article

Abstract: In this paper we study the local boundary controllability for a non linear system of two degenerate parabolic equations with a control acting on only one equation. We analyze boundary null controllability properties for the linear system via the moment method by Fattorini and Russell, together with some results on biorthogonal families. Moreover, we provide an estimate on the null-control cost. This estimate let us prove a local exact boundary controllability result to zero of the nonlinear system following the iterative method from Lebeau and Robbiano as in [17,25].

Source: Evolution equations and control theory

DOI: 10.3934/eect.2025037

Authors: Margarita Arias, Abdelkarim Hajjaj, Amine Sbai

Institutions: Universidad de Granada, Université Hassan 1er

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: Agencia Estatal de Investigación

Awards: G219704740, G2262748287, G3480869486, G425668148