  This paper addresses the consensus of a class of uncertain nonlinear
fractional-order multi-agent systems (FOMAS). First a fractional non-fragile
dynamic output feedback controller is put forward via the output measurements
of neighboring agents, then appropriate state transformation reduced the
consensus problem to a stability one. A sufficient condition based on direct
Lyapunov approach, for the robust asymptotic stability of the transformed
system and subsequently for the consensus of the main system is presented.
Additionally, utilizing S-procedure and Schur complement, the systematic
stabilization design algorithm is proposed for fractional-order system with and
without nonlinear term. The results are formulated as an optimization problem
with linear matrix inequality constraints. Simulation results are given to
verify the effectiveness of the theoretical results.

Optimization and Control;Numerical Analysis;Signal Processing;Numerical Analysis