Abstract
SummaryThis article considers the controllability of delayed linear and nonlinear multi‐agent systems, respectively, with leader‐follower architecture and fixed communication topology. For the linear multi‐agent systems, a relative protocol is designed to realize the interactions among agents and explicit solutions of the controlled agreement system are constructed in two cases, respectively, involving two kinds of delayed exponential matrix functions and the properties of the Kronecker product. Further Gramian and rank criteria for relative controllability are established, respectively. For the nonlinear ones, the control problem is transformed into the existence of fixed points which is tackled viaKrasnoselskii's fixed point theorem. Numerical examples of linear and nonlinear systems are given to verify the theoretical results.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
