This chapter is devoted to answering in detail several questions on studying matrix-weighted graphs. The questions include The answers to these questions will be sought from various references, mostly after the introduction of matrix-weighted graphs with positive definite matrix weights or positive semidefinite matrix weights. New applications and interpretations are the main driving force for applying control theory to matrix-weighted networks. Control and applications of matrix-weighted networks are the topics of the third and fourth parts of this monograph.

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Physical Interpretation and Motivational Examples

  • Minh Hoang Trinh,
  • Hyo-Sung Ahn

摘要

This chapter is devoted to answering in detail several questions on studying matrix-weighted graphs. The questions include The answers to these questions will be sought from various references, mostly after the introduction of matrix-weighted graphs with positive definite matrix weights or positive semidefinite matrix weights. New applications and interpretations are the main driving force for applying control theory to matrix-weighted networks. Control and applications of matrix-weighted networks are the topics of the third and fourth parts of this monograph.