BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A TREE-SHAPED NETWORK

Cerpa, Eduardo; Crepeau, Emmanuelle; Valein, Julie

Abstract

Controllability of coupled systems is a complex issue depending on the coupling conditions and the equations themselves. Roughly speaking, the main challenge is controlling a system with less inputs than equations. In this paper this is successfully done for a system of Korteweg-de Vries equations posed on an oriented tree shaped network. The couplings and the controls appear only on boundary conditions.

Más información

Título según WOS: BOUNDARY CONTROLLABILITY OF THE KORTEWEG-DE VRIES EQUATION ON A TREE-SHAPED NETWORK
Título de la Revista: EVOLUTION EQUATIONS AND CONTROL THEORY
Volumen: 9
Número: 3
Editorial: AMER INST MATHEMATICAL SCIENCES-AIMS
Fecha de publicación: 2020
Página de inicio: 673
Página final: 692
DOI:

10.3934/EECT.2020028

Notas: ISI