Paper Info
Title
Exact stability analysis of discrete-time linear systems with stochastic delays
Abstract
This paper provides analytical results regarding the stability of linear discrete-time systems with stochastic delays. Necessary and sufficient stability conditions are derived by using the second moment dynamics which can be used to draw stability charts. The results are applied to a simple connected vehicle system where the stability regions are compared to those given by the mean dynamics. Our results reveal some fundamental limitations of connected cruise control which becomes more significant as the packet drop ratio increases.
Year
DOI
Venue
2014
10.1109/ACC.2014.6859470
American Control Conference
Keywords
Field
DocType
delay systems,discrete time systems,linear systems,stability,stochastic systems,connected cruise control,discrete-time linear system,packet drop ratio,second moment dynamics,simple connected vehicle system,stability analysis,stochastic delay,Delay systems,Stability of linear systems,Stochastic systems
Control theory,Cruise control,Computer science,Discrete time nonlinear systems,Network packet,Stability conditions,Control engineering,Connected vehicle,Second moment of area
Conference
ISSN
Citations 
PageRank 
0743-1619
2
0.99
References 
Authors
4
4
Name
Order
Citations
PageRank
Marcella M. Gomez1254.56
Wubing B. Qin2294.62
Gábor Orosz38618.40
Richard M. Murray4123221223.70