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arXiv · 2103.15961

Feedback theory approach to positivity and stability of evolution equations

Abed Boulouz·Hamid Bounit·Said Hadd
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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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Abed Boulouz, Hamid Bounit, Said Hadd. 2021-03-29. Feedback theory approach to positivity and stability of evolution equations. https://arxiv.org/abs/2103.15961

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