Stability of the transmission plate equation with a delay term in the moment feedback control | Zendy

Ghecham Wassila | Zendy; Rebiai SalahEddine | Zendy; Sidiali Fatima Zohra | Zendy

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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.

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