Well-posed control problems related to second-order differential inclusions

Doria Affane; Mustapha Fateh Yarou

doi:10.3934/eect.2021042

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2022, Volume 11, Issue 4: 1229-1249. Doi: 10.3934/eect.2021042

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Well-posed control problems related to second-order differential inclusions

Doria Affane and
Mustapha Fateh Yarou^,

LMPA Laboratory, Department of Mathematics, Jijel University, 18000, Algeria

^* Corresponding author: Mustapha Fateh Yarou
^* Corresponding author: Mustapha Fateh Yarou

Received: August 31, 2020

Revised: June 30, 2021

Early access: August 2021

Published: August 2022

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The paper deals with quadratic optimal control problems, we study the equivalence between well-posed problems and affinity on the control for a second-order differential inclusions with two-points conditions, governed by a maximal monotone operator in a finite dimensional space.

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Mathematics Subject Classification: Primary: 49K40, 34H05; Secondary: 47H05.

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