Robust hierarchic control for a population dynamics model with missing birth rate

In this paper, we study the hierarchic control problem for a linear system of a population dynamics model with an unknown birth rate. Using the notion of low-regret control and an adapted observability inequality of Carleman type, we show that there exist two controls such that, the first control ca...

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Bibliographic Details
Published inMathematics of control, signals, and systems Vol. 32; no. 2; pp. 209 - 239
Main Authors Mophou, Gisèle, Kéré, Moumini, Njoukoué, Lionel Landry Djomegne
Format Journal Article
LanguageEnglish
Published London Springer London 01.06.2020
Springer Nature B.V
Springer Verlag
Subjects
Analysis of PDEs
Birth rate
Communications Engineering
Control
Mathematics
Mathematics and Statistics
Mechatronics
Networks
Optimal control
Original Article
Robotics
Robust control
Systems Theory
49J20
92D25
Optimal control
Low-regret control
93B05
Carleman inequality
Incomplete data
Controllability
Population dynamics
Euler–Lagrange formula
93C41
low-regret control
controllability
Euler-Lagrange formula
Key-words : Population dynamics
optimal control
incomplete data
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Summary:In this paper, we study the hierarchic control problem for a linear system of a population dynamics model with an unknown birth rate. Using the notion of low-regret control and an adapted observability inequality of Carleman type, we show that there exist two controls such that, the first control called follower solves an optimal control problem which consists in bringing the state of the linear system to the desired state, and the second one named leader is supposed to lead the population to extinction at final time.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0932-4194
1435-568X
DOI:10.1007/s00498-020-00260-0