Controllability of a viscoelastic plate using one boundary control in displacement or bending

2016/04/08 by Luciano Pandolfi, Pandolfi, L.
Computer Science · Engineering · #45K05 #93B03 #93B05 #93C22 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1604.02240

openalex publication_date 2016/04/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we consider a viscoelastic plate (linear viscoelasticity of the Maxwell-Boltzmann type) and we compare its controllability properties with the (known) controllability of a purely elastic plate (the control acts on the boundary displacement or bending). By combining operator and moment methods, we prove that the viscoelastic plate inherits the controllability properties of the purely elastic plate.

Citations

• Exact Controllability, Stabilization and Perturbations for Distributed Systems

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