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Control problems for weakly coupled systems with memory

Article ID Journal Published Year Pages File Type
4610317 Journal of Differential Equations 2014 60 Pages PDF
Abstract
We investigate control problems for wave-Petrovsky coupled systems in the presence of memory terms. By writing the solutions as Fourier series, we are able to prove Ingham type estimates, and hence reachability results. Our findings have applications in viscoelasticity theory and linear acoustic theory.
Keywords
45K0542A3893C20Convolution kernelsReachabilityFourier seriesCoupled systems
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Control problems for weakly coupled systems with memory
Authors
Paola Loreti, Daniela Sforza,
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Journal
Journal of Differential Equations
Journal: Journal of Differential Equations
Related Categories
45K05
42A38
93C20
Convolution kernels
Reachability
Fourier series
Coupled systems
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
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