Abstract In this paper, a set-membership filtering-based leader–follower synchronization protocol for discrete-time linear multi-agent systems is proposed, wherein the aim to make agents synchronize with leader. The agents, governed by identical high-order dynamics, are subject unknown-but-bounded input disturbances. terms of its own state information, each agent only has access measured output...

Abstract. In this letter, the concept of set-membership filtering (SMF) is extended to the affine projection algorithm with selective regressors (SR-APA), a novel set-membership SR-APA (SM-SR-APA) is established. The proposed algorithm exhibits superior performance with significant reduction in overall computational complexity due to data-selective step size. The usefulness of the proposed algo...

| This paper formulates, and provides a solution to, a ltering problem based on certain de-terministic constraint imposed on the error sequence. The formulation is called Set-Membership Filtering (SMF) and is a generalization of Set-Membership Identiication (SMI) for system identiication. A Set-Membership Decision Feedback Equalizer (SM-DFE) is proposed as an example of its application to non-l...