The H^∞-control problem for parabolic systems with singular Hardy potentials

2023/02/02 by Gabriela Marinoschi, Marinoschi, Gabriela
Computer Science · Engineering · #35K90 #93B35 #93B36 #93B52 #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2302.01149

openalex publication_date 2023/02/02 · openalex created_date 2023/02/04 · openalex updated_date 2026/07/28

Abstract

We solve the H^∞-control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and apply the results to equations with Hardy potentials with the singularity inside or on the boundary, in the cases of a distributed control and of a boundary control.

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