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 of dynamic systems with time delay in the inputs and states‎, ‎such as structural controllability and observability‎. ‎First‎, ‎the zero and non-zero parameters of a proposed system have been determined‎, ‎next the general 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 corresponding graph‎. ‎Our results are expressed for multi-agents systems with dead-time‎. ‎As an application we find a minimum set of leaders to control a given multi-agent system‎.

Keywords:

Graph Methods , Dead-time Systems , Multi-Agent Systems , Structural Controllability