Containment control in fractional-order multi-agent systems with intermittent sampled data over directed networks

Abstract

The containment control problems of fractional order multi-agent systems (FOMASs) over directed networks are discussed in this paper. Firstly, two distributed intermittent sampled data control (ISDC) protocols which can reduce controllers’ update rates and work hours, are introduced. Subsequently, some necessary and sufficient containment conditions are derived by virtue of Laplace transform and stability theory. The containment conditions reveal the relations among the fractional orders, sampling periods, communication constraints, coupling strengths and network topologies. Finally, two numerical experiments are presented to validate the theoretical results.