Impulse Bipartite Consensus Control for Coupled Harmonic Oscillators Under a Coopetitive Network Topology Using Only Position States

Abstract

This paper studies the impulse bipartite consensus problem of networked harmonic oscillators based on the relative position measurements. Two impulse bipartite consensus control protocols are presented. By exploiting the property of the Laplacian matrix corresponding to the coopetitive network, some criteria that ensure bipartite consensus are given. Furthermore, the final convergence states of the coupled harmonic oscillator system are presented. Finally, simulation examples are given to verify the effectiveness of the theoretical results.

Keywords

• Coupled harmonic oscillators
• bipartite consensus
• coopetitive networks
• impulse control