Optimal control for switched point delay systems with refractory period
Abstract
The problem of optimal switching of a multi-mode timedelay system is considered.The class of multi-mode systems consists of systemswhere the control variables are the switching times in asequence of fixed vector fields.We assume that the systems considered all have a refractory period,in the sense that once an action is taken, it takes a non-infinitesimalamount of time before a subsequent action can be taken.Necessary conditions for a stationary solution are derived for systemswith a single or commensurate delays, and shown to extend thoseof the delay free case in the literature
