Well-posedness and approximate controllability of neutral network systems

2021/01/13 by Yassine El Gantouh, Gantouh, Yassine El, Said Hadd +1
Mathematics · #35F46 #93B05 #93C20 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:35F46 #msc:93B05 #msc:93C20

paper · pdf · doi:10.48550/arxiv.2101.05011

arxiv created 2021/01/13 · arxiv updated 2021/01/14

Abstract

In this paper, we study the concept of approximate controllability of retarded network systems of neutral type. On one hand, we reformulate such systems as free-delay boundary control systems on product spaces. On the other hand, we use the rich theory of infinite-dimensional linear systems to derive necessary and sufficient conditions for approximate controllability. Moreover, we propose a rank condition for which we can easily verify the conditions of controllability. Our approach is mainly based on the feedback theory of regular linear systems in the Salamon-Weiss sense.

Related

• Controllability of vertex delay type problems by the regular linear systems approach
• On exact controllability of neutral type time-delay systems
• Approximate and exact controllability criteria for linear one-dimensional hyperbolic systems
• Boundary approximate controllability under positivity constraints of linear systems
• Approximate Controlability by Control Constraints for Infinite Dimensional Systems