GRAPH THEORETICAL METHODS TO STUDY CONTROLLABILITY AND LEADER SELECTION FOR DEAD-TIME SYSTEMS

In this article a graph theoretical approach is employed to study some specifications ofdynamic systems with time delay in the inputs and states, such as structural controllability and observ-ability. first, the zero and non-zero parameters of a proposed system have been determined, next thegeneral structure of the system is presented by a graph which is constructed by non-zero parameters.the structural controllability and observability of the system is investigated using the correspondinggraph. our results are expressed for multi-agents systems with dead-time. as an application we finda minimum set of leaders to control a given multi-agent system.