Optimal Control for Switched Distributed Delay Systems with Refractory Period

The optimal switching of a multi-mode distributed 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. Necessary conditions for a stationary solution are derived and shown to extend those reported for systems with a single or commensurate delays [5]. A method based on excision and regularization to determine the optimal mode sequence is presented.