Constrained asymptotic null-controllability for semi-linear infinite dimensional systems

This paper investigates asymptotic controllability of systems governed by semi-linear partial differential equations, under mixed input-state constraints. A unified approach based on viability theory and set-valued analysis, is provided, requiring that the linear part of the system generates a stron...

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Bibliographic Details
Published in:International journal of dynamics and control 2021-09, Vol.9 (3), p.1000-1012
Main Authors: Boujallal, Lahoucine, Kassara, Khalid
Format: Article
Language:English
Subjects:
Asymptotic properties
Complexity
Constraints
Control
Control and Systems Theory
Controllability
Dynamical Systems
Engineering
Existence theorems
Feedback control
Partial differential equations
Stability
Vibration
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Summary:This paper investigates asymptotic controllability of systems governed by semi-linear partial differential equations, under mixed input-state constraints. A unified approach based on viability theory and set-valued analysis, is provided, requiring that the linear part of the system generates a strongly continuous compact semigroup. In the case of convex constraints, it is shown that Michael selection theorem can be used to get existence of the needed feedback control laws. Examples are numerically treated in order to illustrate the results established.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-020-00713-z