Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D

Khodja, Farid Ammar; Yacine, Mokhtari

doi:10.1007/s00028-022-00790-x

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2023

2024

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Cited by 4 publications

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“…For such type of challenging indirect controllability issues, there is an extensive bibliography devoted to nondegenerate systems. See, in particular [13,14,15,16,17,18,19,20,21,22,23] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Indirect Boundary Controllability of Coupled Degenerate Wave Equations

Moumni,

Salhi,

Tilioua

2024

Acta Appl Math

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In this paper, we consider a system of two degenerate wave equations coupled through the velocities, only one of them being controlled. We assume that the coupling parameter is sufficiently small and we focus on null controllability problem. To this aim, using multiplier techniques and careful energy estimates, we first establish an indirect observability estimate for the corresponding adjoint system. Then, by applying the Hilbert Uniqueness Method, we show that the indirect boundary controllability of the original system holds for a sufficiently large time.

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