Finance

Combinatorics

Topology (electrical circuits)

Mathematics

Multi-agent system

Matrix (chemical analysis)

Consensus

Diagonal

Diagonal matrix

Laplacian matrix

Laplace operator

Mathematical analysis

Order (exchange)

Artificial intelligence

Composite material

Economics

Control (management)

Materials science

Geometry

Synchronization (alternating current)

Computer science

Control theory (sociology)

IEEE Transactions on Neural Networks and Learning Systems

This article addresses synchronization and consensus problems in networks of linear fractional-order multi-agent systems (LFOMAS) via sampled-data control. First, under very mild assumptions, the necessary and sufficient conditions are obtained for achieving synchronization in networks of LFOMAS. Second, the results of synchronization are applied to solve some consensus problems in networks of LFOMAS. In the obtained results, the coupling matrix does not have to be a Laplacian matrix, its off-diagonal elements do not have to be nonnegative, and its row-sum can be nonzero. Finally, the validity of the theoretical results is verified by three simulation examples.

Synchronization and Consensus in Networks of Linear Fractional-Order Multi-Agent Systems via Sampled-Data Control