Semi‐global edge‐consensus of linear discrete‐time multi‐agent systems with positive constraint and input saturation

Abstract

, The authors study the semi‐global edge‐consensus of linear discrete‐time multi‐agent systems subject to edge state positive constraint and input saturation. By virtue of the positive system theory and low‐gain feedback method, the distributed control protocols for undirected and directed networks are designed to guarantee the non‐negative edge‐consensus with input saturation. Then, sufficient conditions, which can guarantee the edge‐consensus together with keeping the positive edge state constraint and avoiding the input saturation, are provided. Finally, two examples are presented to verify the theoretical results.