Matrix-Weighted Graphs

Part I: Graphs and Networks with Matrix-Weights.- Matrix-Weighted Graphs.- Matrix-Weighted Laplacian.- Physical Interpretation and Motivational Examples.- Part II: Algorithms.- Connectivity.- Spanning Trees.- Quantitative Measures.- Part III: Control.- Matrix-Weighted Consensus.- Discrete-Time and Randomized Algorithms.- Accelerated Algorithms.- Robustness .- Tracking.- Time-Delays.- Part IV: Applications.- Synchronization.- Scaling Matrices.- Networked Input-Output Analysis.- Bearing-Only Formation Control.

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• Teoria combinatória e dos grafos
• Engenharia do controlo automático
• Cibernética e teoria dos sistemas
• Robótica
• Inteligência artificial

Matrix-weighted Graphs;Matrix-weighted Consensus;Multi-agent Systems;Graph Theory;Networked Control Systems;Consensus Algorithms