Fully relative state constraint impulsive consensus of nonlinear multi‐agent systems via state‐dependent impulsive protocols

Abstract

In this paper, the state‐dependent impulsive consensus problem of nonlinear multi‐agent systems in directed topology with fully relative state constraint impulses is investigated. State‐dependent impulsive protocols are designed for achieving leader‐following exponential consensus. By constructing comparison systems, consensus problem of multi‐agent systems with state‐dependent impulses can be simplified to the ones with fixed‐time impulses. In addition, state constraint impulses are considered to limit the jump values of impulses beyond the threshold. Based on algebraic graph theory, convex analysis, comparison principle and stability theory, some novel criteria of impulsive consensus have been proposed. Authors' main results indicate that fully relative state constraint impulsive consensus of nonlinear multi‐agent systems via state‐dependent impulsive protocols can be achieved if the nonlinear systems satisfy suitable conditions. Numerical simulations are presented to validate the effectiveness of theoretical results.