About the Lack of Controllability in Models of “Naive Mechanics”. Three Exceptional Cases

I. V. Romanov; Романов И. В.

doi:10.31857/S0032823523010083

About the Lack of Controllability in Models of “Naive Mechanics”. Three Exceptional Cases

Autores: Romanov I.V.¹
Afiliações:
1. HSE University
Edição: Volume 87, Nº 1 (2023)
Páginas: 19-25
Seção: Articles
URL: https://cardiosomatics.ru/0032-8235/article/view/675183
DOI: https://doi.org/10.31857/S0032823523010083
EDN: https://elibrary.ru/HVVMKW
ID: 675183

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Resumo
Sobre autores
Bibliografia
Arquivos suplementares
Estatísticas

Resumo

The problem of boundary controllability is considered for a wide class of models, which can be conditionally called “naive mechanics”. It is proved that for all models of “naive mechanics”, except for the three cases, there is no controllability to rest. All these three cases are classical examples of equations, two of which require additional study of the controllability property.

Palavras-chave

boundary controllability, viscoelasticity models, equations with memory

Sobre autores

I. Romanov

HSE University

Autor responsável pela correspondência
Email: romm1@list.ru
Russia, Moscow

Bibliografia

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Vlasov V.V., Rautian N.A. Spectral analysis and representation of solutions of integro-differential equations with fractional exponential kernels // Trans. Moscow Math. Soc., 2019, vol. 80, pp. 169–188.
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Romanov I., Shamaev A. Non-controllability to rest of the two-dimensional distributed system governed by the integrodifferential equation // J. Optim. Theory&Appl., 2016, vol. 170, no. 3, pp. 772–782.
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