Title :
Random matrix approach to linear control systems with network-induced delays
Author :
Kalmár-Nagy, Tamás
Author_Institution :
Texas A&M Univ., College Station
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;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434893
