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.;
2020-01-01
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.
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