Leader-following consensus of fractional nonlinear multiagent systems involving a Caputo-type derivative
Ewa Schmeidel, Małgorzata Zdanowicz · AIP conference proceedings · 2019
This paper is devoted to the leader-following problem involving a Caputo-type fractional derivative with respect to another function, which is a mathematical model describing dynamics of the leader and a number of agents. The sufficient conditions are given to guarantee that the leader-following consensus is achieved in the system. The main tools in the investigation are the properties of Volterra equations and a standard fixed point theorem.