Containment control for fractional-order multi-agent systems with mixed time delays

Abstract

This paper offers a simple and reliable method to handle containment control for fractional-order multi-agent systems (FOMASs) with mixed time delays. Applying graph theory and fractional Razumikhin technique, some algebraic conditions are proposed by adopting non-delayed and delayed protocols, respectively. The proposed method can deal with well the troubles and difficulties arising from time delays and fractional derivatives. Finally, an illustrative example further clarifies the reliability and validity of our results.