DocumentCode
2829784
Title
Random matrix approach to linear control systems with network-induced delays
Author
Kalmár-Nagy, Tamás
Author_Institution
Texas A&M Univ., College Station
fYear
2007
fDate
12-14 Dec. 2007
Firstpage
5210
Lastpage
5214
Abstract
In this paper we study a simple jump linear system in the context of networked control systems. The objective is to show the equivalence between this simple stochastic recurrence and a random walk on a self-similar graph whose vertices are the visible points of the plane. These results strongly suggest that tools of graph theory, statistical physics, combinatorics and even number theory can be brought to bear on problems in control theory.
Keywords
delay systems; distributed control; graph theory; linear systems; matrix algebra; number theory; random processes; stochastic processes; time-varying systems; combinatorics; graph theory; jump linear system; linear control systems; network-induced delays; networked control systems; number theory; random matrix approach; random walk; self-similar graph; statistical physics; stochastic recurrence; Communication system control; Control systems; Delay effects; Delay systems; Graph theory; Linear systems; Networked control systems; Stability; Unmanned aerial vehicles; Vehicle dynamics;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2007 46th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
978-1-4244-1497-0
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2007.4434893
Filename
4434893
Link To Document