Observer-based bipartite containment control of fractional multi-agent systems with mixed delays

Abstract

This paper is concerned with observer-based bipartite containment control of nonlinear fractional multi-agent systems (FMASs) with distributed and input delays. First, a follower-based observer is designed by the local output information. On the basis of the state information observed, a delayed control protocol is proposed to achieve bipartite containment control on fixed signed directed network, several feasible conditions on devising observer and delayed controller are obtained with the help of signed graph theory, fractional Razumikhin method and matrix transformation. Secondly, the observer-based bipartite containment control on switching networks is furthered addressed by means of common Lyapunov function approach. Lastly, the effectiveness of presented conclusions is clarified through two simulation examples.