Optimal Control of Averaged State of a Population Dynamics Model

Kenne, Cyrille; Nkemzi, Boniface

doi:10.1007/978-3-030-77704-3_6

Search citation statements

Order By: Relevance

Paper Sections

Select...

Optimality Conditions1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2024

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The following result shows the Lipschitz continuity of G. The proof follows using similar arguments as in [17,18,19].…”

Section: Optimality Conditionsmentioning

confidence: 76%

Bilinear optimal control for a fractional diffusive equation

Kenne¹,

Mophou²,

Warma³

2022

Preprint

View full text Add to dashboard Cite

We consider a bilinear optimal control for an evolution equation involving the fractional Laplace operator of order 0 < s < 1. We first give some existence and uniqueness results for the considered evolution equation. Next, we establish some weak maximum principle results allowing us to obtain more regularity of our state equation. Then, we consider an optimal control problem which consists to bring the state of the system at final time to a desired state. We show that this optimal control problem has a solution and we derive the first and second order optimality conditions. Finally, under additional assumptions on the initial datum and the given target, we prove that local uniqueness of optimal solutions can be achieved.

show abstract

“…The following result shows the Lipschitz continuity of G. The proof follows using similar arguments as in [17,18,19].…”

Section: Optimality Conditionsmentioning

confidence: 76%