TWO SIMPLE CRITERION TO OBTAIN EXACT CONTROLLABILITY AND STABILIZATION OF A LINEAR FAMILY OF DISPERSIVE PDE'S ON A PERIODIC DOMAIN

Autor(es)

Vielma Leal, Francisco J. ^[1] ; Pastor, Ademir ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, Cidade Univ, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EVOLUTION EQUATIONS AND CONTROL THEORY; DEC 2021.
• Citações Web of Science: 0

Resumo

In this work, we use the classical moment method to find a practical and simple criterion to determine if a family of linearized Dispersive equations on a periodic domain is exactly controllable and exponentially stabilizable with any given decay rate in H-p(s)(T) with s is an element of R. We apply these results to prove that the linearized Smith equation, the linearized dispersion-generalized Benjamin-Ono equation, the linearized fourth-order Schrodinger equation, and the Higher-order Schrodinger equations are exactly controllable and exponentially stabilizable with any given decay rate in H-p(s)(T) with s is an element of R. (AU)

• Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
• Beneficiário: Marcelo da Silva Montenegro
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 20/14226-4 - Equações dispersivas: Controlabilidade e estabilização em dom1nios periódicos
• Beneficiário: Francisco Javier Vielma Leal
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado