Non-fragile consensus for uncertain fractional-order nonlinear multi-agent systems with state time delay

Abstract

The problem of non-fragile consensus for nonlinear fractional-order multi-agent systems (FOMAS) with state time delay is investigated in this paper. The structured uncertainties occur in both the plant and the controller. By using the linear matrix inequality approach and the fractional-order Razumikhin theorem, a delay- and order-dependent consensus protocol is obtained. The proposed results can be applied to linear FOMASs, and the proposed analysis can be extended to different kinds of consensus problems for various FOMAS.