DocumentCode
185110
Title
Exact stability analysis of discrete-time linear systems with stochastic delays
Author
Gomez, Marcella M. ; Qin, Wubing B. ; Orosz, Gabor ; Murray, Richard M.
Author_Institution
Dept. of Mech. Eng., California Inst. of Technol., Pasadena, CA, USA
fYear
2014
fDate
4-6 June 2014
Firstpage
5534
Lastpage
5539
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.
Keywords
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; Asymptotic stability; Delays; Equations; Stability analysis; Vectors; Vehicle dynamics; Vehicles; Delay systems; Stability of linear systems; Stochastic systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference (ACC), 2014
Conference_Location
Portland, OR
ISSN
0743-1619
Print_ISBN
978-1-4799-3272-6
Type
conf
DOI
10.1109/ACC.2014.6859470
Filename
6859470
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