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∈ RN 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.

Papageorgiou N.S., Vetro C., & Vetro F. (2020). Relaxation for a Class of Control Systems with Unilateral Constraints. ACTA APPLICANDAE MATHEMATICAE, 167(1), 99-115 [10.1007/s10440-019-00270-4].

Relaxation for a Class of Control Systems with Unilateral Constraints

Vetro C.;
2020

Abstract

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∈ RN 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.
Settore MAT/05 - Analisi Matematica
Papageorgiou N.S., Vetro C., & Vetro F. (2020). Relaxation for a Class of Control Systems with Unilateral Constraints. ACTA APPLICANDAE MATHEMATICAE, 167(1), 99-115 [10.1007/s10440-019-00270-4].
File in questo prodotto:
File Dimensione Formato  
Papageorgiou2020_Article_RelaxationForAClassOfControlSy (1).pdf

non disponibili

Descrizione: Articolo principale
Tipologia: Versione Editoriale
Dimensione 770.07 kB
Formato Adobe PDF
770.07 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/423785
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 7
social impact