Semi-global containment control of multi-agent systems with input saturation

This study investigates containment control of multi-agent systems with input saturation and multiple leaders on directed networks. Both state feedback and output feedback containment control protocols are designed via low-gain feedback approach. Under the assumption that the system is asymptotically null controllable with bounded controls and there exists at least one leader that has a directed path to each follower, semi-global state feedback and output feedback containment control of the multi-agent system can be attained. Numerical examples are provided to illustrate the effectiveness of the theoretical results.