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Stability of the transmission plate equation with a delay term in the moment feedback control
Author(s) -
Ghecham Wassila,
Rebiai SalahEddine,
Sidiali Fatima Zohra
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6572
Subject(s) - mathematics , moment (physics) , uniqueness , term (time) , exponential stability , stability (learning theory) , control theory (sociology) , boundary (topology) , transmission (telecommunications) , compact space , mathematical analysis , function (biology) , control (management) , nonlinear system , computer science , classical mechanics , physics , quantum mechanics , machine learning , telecommunications , artificial intelligence , evolutionary biology , biology
In this paper, we study the stability problem for the transmission plate equation with moment feedback control that contains a delay term and that acts on the exterior boundary. We prove under some assumptions that the closed‐loop system is exponentially stable. To establish this result, we introduce a suitable energy function and use multipliers method and compactness–uniqueness argument.