Amar Debbouche, Juan J. Nieto
Abstract:
A control system described by fractional evolution integro-differential
equations and fractional integral nonlocal control conditions is investigated.
This posed system is subjected to mixed multivalued control constraints
whose values are nonconvex closed sets. Along with the original system,
we consider the system in which the constraints on the controls are the
closed convex hulls of the original constraints. More precisely,
existence results for the mentioned nonlocal control systems are proved.
Furthermore, we study relations between the solution sets of both two systems.
Submitted September 16, 2014. Published April 10, 2015.
Math Subject Classifications: 26A33, 45J05, 34G20, 93C23.
Key Words: Fractional integro-differential equation; relaxation property;
feedback control; nonconvex constraint; nonlocal control condition.
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Amar Debbouche Department of Mathematics Guelma University Guelma 24000, Algeria email: amar_debbouche@yahoo.fr, amar.debbouche@usc.es |
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Juan J. Nieto Departamento de Análisis Matemático Universidad de Santiago de Compostela Santiago de Compostela 15782, Spain email: juanjose.nieto.roig@usc.es |
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