Static consensus in passifiable linear networks

2014/02/28 by Ibragim Junussov, Junussov, Ibragim A.
Computer Science · #Distributed Control Multi-Agent Systems #FOS: Mathematics #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1402.7274

openalex publication_date 2014/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical determenistic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.

Citations

• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Consensus and Cooperation in Networked Multi-Agent Systems

Related

• Consensus of Homogeneous Agents with General Linear Dynamics under Switching Communication Networks
• Consensus with Output Saturations
• A Passivity Analysis for Nonlinear Consensus on Digraphs
• A Passivity Analysis for Nonlinear Consensus on Balanced Digraphs
• Exponential Consensus of Multiple Agents over Dynamic Network Topology: Controllability, Connectivity, and Compactness