Quantum mechanics

Algorithm

Multi-agent system

Consensus

Graph theory

Theoretical computer science

Computer science

Mathematical optimization

Protocol (science)

Distributed computing

Alternative medicine

Correctness

Physics

Nonlinear system

Graph

Mathematics

Uniform consensus

Artificial intelligence

Combinatorics

Medicine

Class (philosophy)

Pathology

IEEE Transactions on Circuits & Systems II Express Briefs

In this brief, we investigate the fixed-time consensus problem for a class of heterogeneous nonlinear multiagent systems (MASs), where both the leaderless and leader-following consensus problems are considered. By using the fixed-time control technique and graph theory, a novel protocol design framework is proposed under which new protocols are given based on only transmissions of neighbors' states. Consensus of MASs can be reached in finite time independent of initial conditions via the given protocols in the presence of that dynamics of agents are different. Finally, two numerical simulations are presented to demonstrate the correctness of the proposed results.

Fixed-Time Consensus for a Class of Heterogeneous Nonlinear Multiagent Systems