Topological and Graph-Coloring Conditions on the Parameter-Independent Stability of Second-Order Networked Systems

DOI10.1137/16M108029XzbMath1386.93246arXiv1709.02629OpenAlexW2964292709MaRDI QIDQ4596855

Mathias Bürger, Filip J. Koerts, Arjan J. Van der Schaft, Claudio De Persis

Publication date: 11 December 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02629

zbMATH Keywords

graph coloringheterogeneous networkszero forcingconsensus dynamicsparameter independent stabilityundamped nodes

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Coloring of graphs and hypergraphs (05C15) Graph algorithms (graph-theoretic aspects) (05C85) Applications of graph theory to circuits and networks (94C15) Heterogeneous agent models (91B69)

Related Items (3)

The Impact of Damping in Second-Order Dynamical Systems with Applications to Power Grid Stability ⋮ Topology identification of heterogeneous networks: identifiability and reconstruction ⋮ On the error of \textit{a priori} sampling: zero forcing sets and propagation time

Cites Work

• Unnamed Item
• Duality and network theory in passivity-based cooperative control
• Zero forcing number, constrained matchings and strong structural controllability
• Graph multiplication
• On robust synchronization of heterogeneous linear multi-agent systems with static couplings
• Zero forcing sets and the minimum rank of graphs
• Port-Hamiltonian Systems on Graphs
• Output synchronization for heterogeneous networks of introspective right-invertible agents
• Zero Forcing Sets and Controllability of Dynamical Systems Defined on Graphs
• Stability analysis of multimachine power networks with linear frequency dependent loads
• Pinning a Complex Dynamical Network to Its Equilibrium
• Consensus and Cooperation in Networked Multi-Agent Systems
• Kron Reduction of Graphs With Applications to Electrical Networks
• Synchronization of Dynamical Networks With Nonidentical Nodes: Criteria and Control
• Port-Hamiltonian Systems Theory: An Introductory Overview
• Controllability of Multi-Agent Systems from a Graph-Theoretic Perspective
• Passivity as a Design Tool for Group Coordination
• On the Reachability and Observability of Path and Cycle Graphs
• Hierarchical Clustering of Dynamical Networks Using a Saddle-Point Analysis

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