Title
Network Coding Meets Decentralized Control: Capacity-Stabilizabililty Equivalence
Abstract
The main difference between centralized and decentralized control is the communication. Controllers in a decentralized system can communicate with each other to achieve their common goal. In this paper, we argue that even linear time-invariant controllers in a decentralized linear system "communicate" via linear network coding to stabilize the plant. To justify this argument, we propose an algorithm to "externalize" the implicit communication between controllers that we believe must be occurring to stabilize the plant. Based on this, we show that the stabilizability condition for decentralized linear systems comes from an underlying communication limit, which can be described by an algebraic mincut-maxflow theorem.
Year
DOI
Venue
2011
10.1109/CDC.2011.6161490
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC)
Keywords
Field
DocType
stability,transfer function,decentralized control,decentralized system,linear time invariant,betweenness centrality,linear systems,transfer functions,linear system,bismuth,network coding
Linear network coding,Mathematical optimization,Algebraic number,Decentralised system,Linear system,Control theory,Computer science,Implicit communication,Transfer function,Equivalence (measure theory)
Conference
ISSN
Citations 
PageRank 
0743-1546
4
0.47
References 
Authors
9
2
Name
Order
Citations
PageRank
Se Yong Park14821.78
A. Sahai21888198.31