Relaxation for a Class of Control Systems with Unilateral Constraints

We consider a nonlinear control system involving a maximal monotone map and with a priori feedback. We assume that the control constraint multifunction U ( t , x ) is nonconvex valued and only lsc in the x ∈ R N variable. Using the Q-regularization (in the sense of Cesari) of U ( t , ⋅ ) , we introd...

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Bibliographic Details
Published in:Acta applicandae mathematicae 2020-06, Vol.167 (1), p.99-115
Main Authors: Papageorgiou, Nikolaos S., Vetro, Calogero, Vetro, Francesca
Format: Article
Language:English
Subjects:
Applications of Mathematics
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Control systems
Mathematics
Mathematics and Statistics
Nonlinear control
Partial Differential Equations
Probability Theory and Stochastic Processes
Regularization
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Summary:We consider a nonlinear control system involving a maximal monotone map and with a priori feedback. We assume that the control constraint multifunction U ( t , x ) is nonconvex valued and only lsc in the x ∈ R N variable. Using the Q-regularization (in the sense of Cesari) of U ( t , ⋅ ) , we introduce a relaxed system. We show that this relaxation process is admissible.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-019-00270-4