Dynamic Consensus of Third-Order Delayed Networked Multi-agent Systems with Switching Topology

Abstract

This paper investigates consensus for the third-order integrator networked multi-agent system with switching topology and input delay, which does not require the speed nor acceleration to be synchronized to zero. By variable transformations and based on scrambling matrix theory, sufficient conditions for the third-order integrator type networked multi-agent system to reach consensus are derived. Numerical examples are provided to illustrate the effectiveness of the theoretic results.