Work

Boundary Exponential Stabilization for the Linear KP-II Equation without Critical Size Restrictions

Year: 2025

Type: article

Abstract: In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as “critical length.” Our primary aim is to design a feedback law that ensures the existence and exponential stabilization of solutions in the energy space, without length restrictions on the domain $$ \Omega = (0, L) \times (0, L) $$ Ω = ( 0 , L ) × ( 0 , L ) , $$ L > 0 $$ L > 0 . Furthermore, we examine the interaction between the drift term $$ u_x $$ u x under these constraints.

Source: Journal of Dynamical and Control Systems

DOI: 10.1007/s10883-025-09733-4

Authors: F.A Gallego, J.R Muñoz

Institutions: Universidad Nacional de Colombia, University of Dubrovnik, Universidade Federal de Pernambuco

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Universidad Nacional de Colombia, Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco, Universidad Nacional de Colombia, Sede Manizales