Abstract

APONTE, Jesús  and  LEIVA, Hugo. Controllability of semilinear evolution equations with impulses and delays. Novasinergia [online]. 2020, vol.3, n.1, pp.37-44. ISSN 2631-2654.

For many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their controllability. So we conjecture that, under certain conditions, perturbations of the system caused by abrupt changes and delays do not affect certain properties such as controllability. In this regard, we show that under certain conditions, the impulses and delays as perturbations do not destroy the controllability of systems governed by evolution equations. As application, we consider a semi-linear wave equation with impulses and delays.

Keywords : Controllability; impulsive semilinear evolution equations; semilinear wave equation; strongly continuous semigroup.

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