Feedback theory approach to positivity and stability of evolution equations

Published 29 Mar 2021 in math.FA | (2103.15961v1)

Abstract: In this paper, we study the positivity and (uniform) exponential stability of a large class of perturbed semigroups. Our approach is essentially based on the feedback theory of infinite-dimensional linear systems. The obtained results are applied to the stability of hyperbolic systems including those with a delay at the boundary conditions.

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