Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls

2011/09/29 by Fatiha Alabau-Boussouira, Fatiha Alabau‐Boussouira, Alabau-Boussouira, Fatiha
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.AP #math.OC

paper · pdf · doi:10.48550/arxiv.1109.6645

openalex publication_date 2011/09/29 · arxiv created 2011/11/07 · arxiv updated 2011/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove controllability results for abstract systems of weakly coupled N evolution equations in cascade by a reduced number of boundary or locally distributed controls ranging from a single up to N-1 controls. We give applications to cascade coupled systems of N multi-dimensional-hyperbolic, parabolic and diffusive equations.

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