Electron. J. Diff. Equ., Vol. 2016 (2016), No. 160, pp. 1-9.

On recent developments treating the exact controllability of abstract control problems

Michelle Pierri, Donal O'Regan, Andrea Prokopczyk

Abstract:
In this note we comment on an error present in the recent and extensive literature on exact controllability of abstract control differential problems. Our observations are valid for first order, second order, integro-differential and fractional differential control problems.

Submitted March 2, 2016. Published June 27, 2016.
Math Subject Classifications: 34K30, 34K45, 35R12, 47D06.
Key Words: Controllability; abstract control systems; sectorial operators; resolvent of operators.

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Michelle Pierri
Departamento de Computação e Matemática
Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto
Universidade de São Paulo
CEP 14040-901 Ribeirão Preto, SP, Brazil
email: michellepierri@ffclrp.usp.br
Donal O'Regan
School of Mathematics
Statistics and Applied Mathematics
National University of Ireland
Galway, Ireland
email: donal.oregan@nuigalway.ie
Andréa Prokopczyk
Instituto de Biociências, Letras e Ciências Exatas
Depto de Matemática, Universidade Estudual Paulista
São José do Rio Preto, SP, Brasil
email: andrea.prokopczyk@gmail.com

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