@MISC{_optimalcontrol, author = {}, title = {OPTIMAL CONTROL FOR SWITCHED POINT DELAY SYSTEMS WITH REFRACTORY PERIOD}, year = {} }
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Abstract
Abstract: The problem of optimal switching of a multi-mode time delay system is considered. The class of multi-mode systems consists of systems where the control variables are the switching times in a sequence 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-infinitesimal amount of time before a subsequent action can be taken. Necessary conditions for a stationary solution are derived for systems with a single or commensurate delays, and shown to extend those of the delay free case in (Egerstedt et al. 2003). Copyright c○2005 IFAC