Title
Dynamic Networks: Representations, Abstractions, And Well-Posedness
Abstract
This paper introduces notions of abstraction and realization for dynamic networks. These processes generate dynamically equivalent representations of a system, but with varying degrees of structural detail. Nuanced definitions and associated conditions for maintaining well-posedness for these multi-resolution representations of a dynamic system are then detailed, ensuring that hierarchies of network representations are sensible as multi-resolution models of dynamic networks. Although the ideas are developed precisely here for LTI networks, many of the concepts remain fundamental in the nonlinear setting.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619098
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Field
DocType
ISSN
Mathematical optimization,Nonlinear system,Abstraction,Computer science,Theoretical computer science,Hierarchy
Conference
0743-1546
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Nathan Woodbury100.68
Arne G. Dankers27810.25
Sean Warnick319825.76